String Theory

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Ziqi Yan - One of the best experts on this subject based on the ideXlab platform.

  • T-Duality in Nonrelativistic Open String Theory.
    arXiv: High Energy Physics - Theory, 2020
    Co-Authors: Jaume Gomis, Ziqi Yan
    Abstract:

    Nonrelativistic open String Theory is defined by a worldsheet Theory that produces a Galilean invariant String spectrum and is described at low energies by a nonrelativistic Yang-Mills Theory. We study T-duality transformations in the path integral for the sigma model that describes nonrelativistic open String Theory coupled to an arbitrary closed String background, described by a String Newton-Cartan geometry, Kalb-Ramond, and dilaton field. We prove that T-duality transformations map nonrelativistic open String Theory to relativistic and noncommutative open String Theory in the discrete light cone quantization (DLCQ), a quantization scheme relevant for Matrix String Theory. We also show how the worldvolume dynamics of nonrelativistic open String Theory described by the Dirac-Born-Infeld type action maps to the Dirac-Born-Infeld actions describing the worldvolume theories of the DLCQ of open String Theory and noncommutative open String Theory.

  • String Theory and String Newton–Cartan geometry*
    Journal of Physics A: Mathematical and Theoretical, 2019
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Ceyda Simsek, Jan Rosseel, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called String Newton-Cartan geometry. In this paper we obtain String Newton-Cartan geometry as a limit of the Riemannian geometry of General Relativity with a fluxless two-form field. We then apply the same limit to relativistic String Theory in curved background fields and show that it leads to nonrelativistic String Theory in a String Newton-Cartan geometry coupled to a Kalb-Ramond and dilaton field background. Finally, we use our limiting procedure to study the spacetime equations of motion and the T-duality transformations of nonrelativistic String Theory. Our results reproduce the recent studies of beta-functions and T-duality of nonrelativistic String Theory obtained from the microscopic worldsheet definition of nonrelativistic String Theory.

  • Nonrelativistic String Theory in Background Fields
    Journal of High Energy Physics, 2019
    Co-Authors: Jaume Gomis, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory is a unitary, ultraviolet finite quantum gravity Theory with a nonrelativistic String spectrum. The vertex operators of the worldsheet Theory determine the spacetime geometry of nonrelativistic String Theory, known as the String Newton-Cartan geometry. We compute the Weyl anomaly of the nonrelativistic String worldsheet sigma model describing Strings propagating in a String Newton-Cartan geometry, Kalb-Ramond and dilaton background. We derive the equations of motion that dictate the backgrounds on which nonrelativistic String Theory can be consistently defined quantum mechanically. The equations of motion we find from our study of the conformal anomaly of the worldsheet Theory are to nonrelativistic String Theory what the (super)gravity equations of motion are to relativistic String Theory.

  • Nonrelativistic String Theory and T-duality
    Journal of High Energy Physics, 2018
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory in flat spacetime is described by a two-dimensional quantum field Theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic String Theory is unitary, ultraviolet complete and has a String spectrum and spacetime S-matrix enjoying nonrelativistic symmetry. The worldsheet Theory of nonrelativistic String Theory is coupled to a curved spacetime background and to a Kalb-Ramond two-form and dilaton field. The appropriate spacetime geometry for nonrelativistic String Theory is dubbed String Newton-Cartan geometry, which is distinct from Riemannian geometry. This defines the sigma model of nonrelativistic String Theory describing Strings propagating and interacting in curved background fields. We also implement T-duality transformations in the path integral of this sigma model and uncover the spacetime interpretation of T-duality. We show that T-duality along the longitudinal direction of the String Newton-Cartan geometry describes relativistic String Theory on a Lorentzian geometry with a compact lightlike isometry, which is otherwise only defined by a subtle infinite boost limit. This relation provides a first principles definition of String Theory in the discrete light cone quantization (DLCQ) in an arbitrary background, a quantization that appears in nonperturbative approaches to quantum field Theory and String/M-Theory, such as in Matrix Theory. T-duality along a transverse direction of the String Newton-Cartan geometry equates nonrelativistic String Theory in two distinct, T-dual backgrounds.

Jaume Gomis - One of the best experts on this subject based on the ideXlab platform.

  • T-Duality in Nonrelativistic Open String Theory.
    arXiv: High Energy Physics - Theory, 2020
    Co-Authors: Jaume Gomis, Ziqi Yan
    Abstract:

    Nonrelativistic open String Theory is defined by a worldsheet Theory that produces a Galilean invariant String spectrum and is described at low energies by a nonrelativistic Yang-Mills Theory. We study T-duality transformations in the path integral for the sigma model that describes nonrelativistic open String Theory coupled to an arbitrary closed String background, described by a String Newton-Cartan geometry, Kalb-Ramond, and dilaton field. We prove that T-duality transformations map nonrelativistic open String Theory to relativistic and noncommutative open String Theory in the discrete light cone quantization (DLCQ), a quantization scheme relevant for Matrix String Theory. We also show how the worldvolume dynamics of nonrelativistic open String Theory described by the Dirac-Born-Infeld type action maps to the Dirac-Born-Infeld actions describing the worldvolume theories of the DLCQ of open String Theory and noncommutative open String Theory.

  • String Theory and String newton cartan geometry
    Journal of Physics A, 2020
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Jan Rosseel, Ceyda Simsek
    Abstract:

    Nonrelativistic String Theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called String Newton-Cartan geometry. In this paper we obtain String Newton-Cartan geometry as a limit of the Riemannian geometry of General Relativity with a fluxless two-form field. We then apply the same limit to relativistic String Theory in curved background fields and show that it leads to nonrelativistic String Theory in a String Newton-Cartan geometry coupled to a Kalb-Ramond and dilaton field background. Finally, we use our limiting procedure to study the spacetime equations of motion and the T-duality transformations of nonrelativistic String Theory. Our results reproduce the recent studies of beta-functions and T-duality of nonrelativistic String Theory obtained from the microscopic worldsheet definition of nonrelativistic String Theory.

  • String Theory and String Newton–Cartan geometry*
    Journal of Physics A: Mathematical and Theoretical, 2019
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Ceyda Simsek, Jan Rosseel, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called String Newton-Cartan geometry. In this paper we obtain String Newton-Cartan geometry as a limit of the Riemannian geometry of General Relativity with a fluxless two-form field. We then apply the same limit to relativistic String Theory in curved background fields and show that it leads to nonrelativistic String Theory in a String Newton-Cartan geometry coupled to a Kalb-Ramond and dilaton field background. Finally, we use our limiting procedure to study the spacetime equations of motion and the T-duality transformations of nonrelativistic String Theory. Our results reproduce the recent studies of beta-functions and T-duality of nonrelativistic String Theory obtained from the microscopic worldsheet definition of nonrelativistic String Theory.

  • Nonrelativistic String Theory in Background Fields
    Journal of High Energy Physics, 2019
    Co-Authors: Jaume Gomis, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory is a unitary, ultraviolet finite quantum gravity Theory with a nonrelativistic String spectrum. The vertex operators of the worldsheet Theory determine the spacetime geometry of nonrelativistic String Theory, known as the String Newton-Cartan geometry. We compute the Weyl anomaly of the nonrelativistic String worldsheet sigma model describing Strings propagating in a String Newton-Cartan geometry, Kalb-Ramond and dilaton background. We derive the equations of motion that dictate the backgrounds on which nonrelativistic String Theory can be consistently defined quantum mechanically. The equations of motion we find from our study of the conformal anomaly of the worldsheet Theory are to nonrelativistic String Theory what the (super)gravity equations of motion are to relativistic String Theory.

  • Nonrelativistic String Theory and T-duality
    Journal of High Energy Physics, 2018
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory in flat spacetime is described by a two-dimensional quantum field Theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic String Theory is unitary, ultraviolet complete and has a String spectrum and spacetime S-matrix enjoying nonrelativistic symmetry. The worldsheet Theory of nonrelativistic String Theory is coupled to a curved spacetime background and to a Kalb-Ramond two-form and dilaton field. The appropriate spacetime geometry for nonrelativistic String Theory is dubbed String Newton-Cartan geometry, which is distinct from Riemannian geometry. This defines the sigma model of nonrelativistic String Theory describing Strings propagating and interacting in curved background fields. We also implement T-duality transformations in the path integral of this sigma model and uncover the spacetime interpretation of T-duality. We show that T-duality along the longitudinal direction of the String Newton-Cartan geometry describes relativistic String Theory on a Lorentzian geometry with a compact lightlike isometry, which is otherwise only defined by a subtle infinite boost limit. This relation provides a first principles definition of String Theory in the discrete light cone quantization (DLCQ) in an arbitrary background, a quantization that appears in nonperturbative approaches to quantum field Theory and String/M-Theory, such as in Matrix Theory. T-duality along a transverse direction of the String Newton-Cartan geometry equates nonrelativistic String Theory in two distinct, T-dual backgrounds.

Eric Bergshoeff - One of the best experts on this subject based on the ideXlab platform.

  • Non-relativistic String Theory
    Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019), 2020
    Co-Authors: Eric Bergshoeff, Johannes Lahnsteiner, Luca Romano, Ceyda Simsek
    Abstract:

    We show how Newton-Cartan gravity can be generalized to String Newton-Cartan gravity which is identified as the proper geometry underlying non-relativistic String Theory. Specific properties of non-relativistic String Theory are discussed such as T-duality and (solutions to) the equations of motion of the background fields.

  • String Theory and String newton cartan geometry
    Journal of Physics A, 2020
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Jan Rosseel, Ceyda Simsek
    Abstract:

    Nonrelativistic String Theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called String Newton-Cartan geometry. In this paper we obtain String Newton-Cartan geometry as a limit of the Riemannian geometry of General Relativity with a fluxless two-form field. We then apply the same limit to relativistic String Theory in curved background fields and show that it leads to nonrelativistic String Theory in a String Newton-Cartan geometry coupled to a Kalb-Ramond and dilaton field background. Finally, we use our limiting procedure to study the spacetime equations of motion and the T-duality transformations of nonrelativistic String Theory. Our results reproduce the recent studies of beta-functions and T-duality of nonrelativistic String Theory obtained from the microscopic worldsheet definition of nonrelativistic String Theory.

  • String Theory and String Newton–Cartan geometry*
    Journal of Physics A: Mathematical and Theoretical, 2019
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Ceyda Simsek, Jan Rosseel, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called String Newton-Cartan geometry. In this paper we obtain String Newton-Cartan geometry as a limit of the Riemannian geometry of General Relativity with a fluxless two-form field. We then apply the same limit to relativistic String Theory in curved background fields and show that it leads to nonrelativistic String Theory in a String Newton-Cartan geometry coupled to a Kalb-Ramond and dilaton field background. Finally, we use our limiting procedure to study the spacetime equations of motion and the T-duality transformations of nonrelativistic String Theory. Our results reproduce the recent studies of beta-functions and T-duality of nonrelativistic String Theory obtained from the microscopic worldsheet definition of nonrelativistic String Theory.

  • Nonrelativistic String Theory and T-duality
    Journal of High Energy Physics, 2018
    Co-Authors: Eric Bergshoeff, Jaume Gomis, Ziqi Yan
    Abstract:

    Nonrelativistic String Theory in flat spacetime is described by a two-dimensional quantum field Theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic String Theory is unitary, ultraviolet complete and has a String spectrum and spacetime S-matrix enjoying nonrelativistic symmetry. The worldsheet Theory of nonrelativistic String Theory is coupled to a curved spacetime background and to a Kalb-Ramond two-form and dilaton field. The appropriate spacetime geometry for nonrelativistic String Theory is dubbed String Newton-Cartan geometry, which is distinct from Riemannian geometry. This defines the sigma model of nonrelativistic String Theory describing Strings propagating and interacting in curved background fields. We also implement T-duality transformations in the path integral of this sigma model and uncover the spacetime interpretation of T-duality. We show that T-duality along the longitudinal direction of the String Newton-Cartan geometry describes relativistic String Theory on a Lorentzian geometry with a compact lightlike isometry, which is otherwise only defined by a subtle infinite boost limit. This relation provides a first principles definition of String Theory in the discrete light cone quantization (DLCQ) in an arbitrary background, a quantization that appears in nonperturbative approaches to quantum field Theory and String/M-Theory, such as in Matrix Theory. T-duality along a transverse direction of the String Newton-Cartan geometry equates nonrelativistic String Theory in two distinct, T-dual backgrounds.

Liam Mcallister - One of the best experts on this subject based on the ideXlab platform.

  • Inflation and String Theory
    2015
    Co-Authors: Daniel Baumann, Liam Mcallister
    Abstract:

    The past two decades have seen transformative advances in cosmology and String Theory. Observations of the cosmic microwave background have revealed strong evidence for inflationary expansion in the very early universe, while new insights about compactifications of String Theory have led to a deeper understanding of inflation in a framework that unifies quantum mechanics and general relativity. Written by two of the leading researchers in the field, this complete and accessible volume provides a modern treatment of inflationary cosmology and its connections to String Theory and elementary particle Theory. After an up-to-date experimental summary, the authors present the foundations of effective field Theory, String Theory, and String compactifications, setting the stage for a detailed examination of models of inflation in String Theory. Three appendices contain background material in geometry and cosmological perturbation Theory, making this a self-contained resource for graduate students and researchers in String Theory, cosmology, and related fields

  • Inflation and String Theory
    arXiv: High Energy Physics - Theory, 2014
    Co-Authors: Daniel Baumann, Liam Mcallister
    Abstract:

    We review cosmological inflation and its realization in quantum field Theory and in String Theory. This material is a portion of a book, also entitled "Inflation and String Theory", to be published by Cambridge University Press.

  • advances in inflation in String Theory
    Annual Review of Nuclear and Particle Science, 2009
    Co-Authors: Daniel Baumann, Liam Mcallister
    Abstract:

    We provide a pedagogical overview of inflation in String Theory. We focus upon the sensitivity of inflation to Planck-scale physics, which we argue provides both the primary motivation and the central theoretical challenge for the subject. We illustrate these issues through two case studies of inflationary scenarios in String Theory: warped d-brane inflation and axion monodromy inflation. Finally, we indicate how future observations can test scenarios of inflation in String Theory.

  • Advances in Inflation in String Theory
    Annual Review of Nuclear and Particle Science, 2009
    Co-Authors: Daniel Baumann, Liam Mcallister
    Abstract:

    We provide a pedagogical overview of inflation in String Theory. Our theme is the sensitivity of inflation to Planck-scale physics, which we argue provides both the primary motivation and the central theoretical challenge for the subject. We illustrate these issues through two case studies of inflationary scenarios in String Theory: warped D-brane inflation and axion monodromy inflation. Finally, we indicate how future observations can test scenarios of inflation in String Theory.

Ashoke Sen - One of the best experts on this subject based on the ideXlab platform.

  • String Theory and Einstein's Dream
    The Legacy of Albert Einstein, 2006
    Co-Authors: Ashoke Sen
    Abstract:

    Unification of the Theory of gravitation, as given by Einstein’s general Theory of relativity, and the Theory of electromagn etism, as fo rmulated by Maxwell, had been Einstein’s dream during the later part of his life. String Theory, which is the subject of this article, is an attempt to realize this dream. However in many ways String Theory attempts to go beyond Einstein’s dream. String Theory attempts to bring all known forces of nature – not just gravity and electromagnetism – under one umbrella. It also tries to do so in a manner that is co nsistent with the principles of quantum mechanics – the Theory that is necessary for describing the laws of nature at very small distance. Thus String Theory is an a ttempt to provide an all -encompassing description of nature that works at large distances where gravity becomes important as well as small distances where quantum mechanics is important.

  • tachyon dynamics in open String Theory
    International Journal of Modern Physics A, 2005
    Co-Authors: Ashoke Sen
    Abstract:

    In this review we describe our current understanding of the properties of open String tachyons on an unstable D-brane or brane–antibrane system in String Theory. The various String theoretic methods used for this study include techniques of two-dimensional conformal field Theory, open String field Theory, boundary String field Theory, noncommutative solitons, etc. We also describe various attempts to understand these results using field theoretic methods. These field Theory models include toy models like singular potential models and p-adic String Theory, as well as more realistic version of the tachyon effective action based on Dirac–Born–Infeld type action. Finally we study closed String background produced by the "decaying" unstable D-branes, both in the critical String Theory and in the two-dimensional String Theory, and describe the open String completeness conjecture that emerges out of this study. According to this conjecture the quantum dynamics of an unstable D-brane system is described by an int...

  • tachyon dynamics in open String Theory
    arXiv: High Energy Physics - Theory, 2004
    Co-Authors: Ashoke Sen
    Abstract:

    In this review we describe our current understanding of the properties of open String tachyons on an unstable D-brane or brane-antibrane system in String Theory. The various String theoretic methods used for this study include techniques of two dimensional conformal field Theory, open String field Theory, boundary String field Theory, non-commutative solitons etc. We also describe various attempts to understand these results using field theoretic methods. These field Theory models include toy models like singular potential models and p-adic String Theory, as well as more realistic version of the tachyon effective action based on Dirac-Born-Infeld type action. Finally we study closed String background produced by the `decaying' unstable D-branes, both in the critical String Theory and in the two dimensional String Theory, and describe the open String completeness conjecture that emerges out of this study. According to this conjecture the quantum dynamics of an unstable D-brane system is described by an internally consistent quantum open String field Theory without any need to couple the system to closed Strings. Each such system can be regarded as a part of the `hologram' describing the full String Theory.

  • Tachyons in String Theory
    International Conference on Theoretical Physics, 2003
    Co-Authors: Ashoke Sen
    Abstract:

    We describe some of the recent developments in our understanding of the tachyon in String Theory.

  • String Theory and tachyons
    Current Science, 2001
    Co-Authors: Ashoke Sen
    Abstract:

    In the first part of this article, I give a brief review of String Theory and its goal. In the second part I outline the study of tachyons in String Theory and an attempt at a non-perturbative formulation of String Theorybased on these studies. Although most physicists might have by now heard both words - String Theory and tachyons - neither of these topics may be very familiar to a majority of the physicists. Keeping this mind, I shall spend a major part of the article explaining the role of String Theory in the formulation of a unified Theory of all matter and their interactions, and also briefly explain the role of tachyons in ordinary quantum field theories. Then I shall turn to the role of tachyons in String Theory.