Scalar Potential

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Silvia Vaula - One of the best experts on this subject based on the ideXlab platform.

  • no scale n 4 supergravity coupled to yang mills the Scalar Potential and super higgs effect
    Physics Letters B, 2003
    Co-Authors: Riccardo Dauria, S Ferrara, M A Lledo, Silvia Vaula
    Abstract:

    Abstract We derive the Scalar Potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non-Abelian brane coordinates. N =4 supergravity predicts a positive semidefinite Potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR Scalars which complete three copies of the coset ( U (1,1+ n )/ U (1)⊗ U (1+ n )), together with 6 n D3-branes coordinates, n being the rank of the gauge group G . Implications for the super-Higgs mechanism are also discussed.

  • no scale n 4 supergravity coupled to yang mills the Scalar Potential and super higgs effect
    arXiv: High Energy Physics - Theory, 2002
    Co-Authors: Riccardo Dauria, S Ferrara, M A Lledo, Silvia Vaula
    Abstract:

    We derive the Scalar Potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non abelian brane coordinates. N=4 supergravity predicts a positive semidefinite Potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR Scalars which complete three copies of the coset (U(1,1+n)/U(1)\otimes U(1+n)), together with 6n D3-branes coordinates, n being the rank of the gauge group G. Implications for the super Higgs mechanism are also discussed.

Riccardo Dauria - One of the best experts on this subject based on the ideXlab platform.

  • no scale n 4 supergravity coupled to yang mills the Scalar Potential and super higgs effect
    Physics Letters B, 2003
    Co-Authors: Riccardo Dauria, S Ferrara, M A Lledo, Silvia Vaula
    Abstract:

    Abstract We derive the Scalar Potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non-Abelian brane coordinates. N =4 supergravity predicts a positive semidefinite Potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR Scalars which complete three copies of the coset ( U (1,1+ n )/ U (1)⊗ U (1+ n )), together with 6 n D3-branes coordinates, n being the rank of the gauge group G . Implications for the super-Higgs mechanism are also discussed.

  • no scale n 4 supergravity coupled to yang mills the Scalar Potential and super higgs effect
    arXiv: High Energy Physics - Theory, 2002
    Co-Authors: Riccardo Dauria, S Ferrara, M A Lledo, Silvia Vaula
    Abstract:

    We derive the Scalar Potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non abelian brane coordinates. N=4 supergravity predicts a positive semidefinite Potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR Scalars which complete three copies of the coset (U(1,1+n)/U(1)\otimes U(1+n)), together with 6n D3-branes coordinates, n being the rank of the gauge group G. Implications for the super Higgs mechanism are also discussed.

  • special and quaternionic isometries general couplings in n 2 supergravity and the Scalar Potential
    Nuclear Physics, 1991
    Co-Authors: Riccardo Dauria, S Ferrara, Pietro Fre
    Abstract:

    Abstract The general lagrangian for N = 2 matter-coupled supergravity is obtained, by gauging general isometries of quaternionic manifolds which can be coupled to supergravity. The resulting theories are purely geometrical and give an interplay between quaternionic and special Kahler geometry. The resulting Scalar Potential is expressed in terms of the two Killing prePotentials of the two geometries and it may be relevant to study transitions between different vacua in superstring theory. Furthermore from the geometrical point of view the prePotentials are hamiltonian functions yielding a poissonian realization of the gauge algebra on both the special Kahler and the quaternionic manifold. A possible cohomological obstruction to this realization is pointed out.

T A Enslin - One of the best experts on this subject based on the ideXlab platform.

  • all sky reconstruction of the primordial Scalar Potential from wmap temperature data
    Journal of Cosmology and Astroparticle Physics, 2015
    Co-Authors: Sebastian Dorn, Maksim Greiner, T A Enslin
    Abstract:

    An essential quantity required to understand the physics of the early Universe, in particular the inflationary epoch, is the primordial Scalar Potential Φ and its statistics. We present for the first time an all-sky reconstruction of Φ with corresponding 1σ-uncertainty from WMAP's cosmic microwave background (CMB) temperature data—a map of the very early Universe right after the inflationary epoch. This has been achieved by applying a Bayesian inference method that separates the whole inverse problem of the reconstruction into many independent ones, each of them solved by an optimal linear filter (Wiener filter). In this way, the three-dimensional Potential Φ gets reconstructed slice by slice resulting in a thick shell of nested spheres around the comoving distance to the last scattering surface. Each slice represents the primordial Scalar Potential Φ projected onto a sphere with corresponding distance. Furthermore, we present an advanced method for inferring Φ and its power spectrum simultaneously from data, but argue that applying it requires polarization data with high signal-to-noise levels not available yet. Future CMB data should improve results significantly, as polarization data will fill the present l-blind gaps of the reconstruction.

  • all sky reconstruction of the primordial Scalar Potential from wmap temperature data
    arXiv: Cosmology and Nongalactic Astrophysics, 2014
    Co-Authors: Sebastian Dorn, Maksim Greiner, T A Enslin
    Abstract:

    An essential quantity required to understand the physics of the early Universe, in particular the inflationary epoch, is the primordial Scalar Potential $\Phi$ and its statistics. We present for the first time an all-sky reconstruction of $\Phi$ with corresponding $1\sigma$-uncertainty from WMAP's cosmic microwave background (CMB) temperature data -- a map of the very early Universe right after the inflationary epoch. This has been achieved by applying a Bayesian inference method that separates the whole inverse problem of the reconstruction into many independent ones, each of them solved by an optimal linear filter (Wiener filter). In this way, the three-dimensional Potential $\Phi$ gets reconstructed slice by slice resulting in a thick shell of nested spheres around the comoving distance to the last scattering surface. Each slice represents the primordial Scalar Potential $\Phi$ projected onto a sphere with corresponding distance. Furthermore, we present an advanced method for inferring $\Phi$ and its power spectrum simultaneously from data, but argue that applying it requires polarization data with high signal-to-noise levels not available yet. Future CMB data should improve results significantly, as polarization data will fill the present $\ell-$blind gaps of the reconstruction.

S Ferrara - One of the best experts on this subject based on the ideXlab platform.

  • no scale n 4 supergravity coupled to yang mills the Scalar Potential and super higgs effect
    Physics Letters B, 2003
    Co-Authors: Riccardo Dauria, S Ferrara, M A Lledo, Silvia Vaula
    Abstract:

    Abstract We derive the Scalar Potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non-Abelian brane coordinates. N =4 supergravity predicts a positive semidefinite Potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR Scalars which complete three copies of the coset ( U (1,1+ n )/ U (1)⊗ U (1+ n )), together with 6 n D3-branes coordinates, n being the rank of the gauge group G . Implications for the super-Higgs mechanism are also discussed.

  • no scale n 4 supergravity coupled to yang mills the Scalar Potential and super higgs effect
    arXiv: High Energy Physics - Theory, 2002
    Co-Authors: Riccardo Dauria, S Ferrara, M A Lledo, Silvia Vaula
    Abstract:

    We derive the Scalar Potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non abelian brane coordinates. N=4 supergravity predicts a positive semidefinite Potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR Scalars which complete three copies of the coset (U(1,1+n)/U(1)\otimes U(1+n)), together with 6n D3-branes coordinates, n being the rank of the gauge group G. Implications for the super Higgs mechanism are also discussed.

  • special and quaternionic isometries general couplings in n 2 supergravity and the Scalar Potential
    Nuclear Physics, 1991
    Co-Authors: Riccardo Dauria, S Ferrara, Pietro Fre
    Abstract:

    Abstract The general lagrangian for N = 2 matter-coupled supergravity is obtained, by gauging general isometries of quaternionic manifolds which can be coupled to supergravity. The resulting theories are purely geometrical and give an interplay between quaternionic and special Kahler geometry. The resulting Scalar Potential is expressed in terms of the two Killing prePotentials of the two geometries and it may be relevant to study transitions between different vacua in superstring theory. Furthermore from the geometrical point of view the prePotentials are hamiltonian functions yielding a poissonian realization of the gauge algebra on both the special Kahler and the quaternionic manifold. A possible cohomological obstruction to this realization is pointed out.

Sergei V Ketov - One of the best experts on this subject based on the ideXlab platform.

  • Scalar Potential in f r supergravity
    Classical and Quantum Gravity, 2009
    Co-Authors: Sergei V Ketov
    Abstract:

    We derive a Scalar Potential in the recently proposed N = 1 supersymmetric generalization of f(R) gravity in four spacetime dimensions. Any such higher-derivative supergravity is classically equivalent to the standard N = 1 supergravity coupled to a chiral (matter) superfield, via a Legendre–Weyl transform in superspace. The Kahler Potential, the superPotential and the Scalar Potential of that theory are all governed by a single holomorphic function. We also find the conditions for the vanishing cosmological constant and spontaneous supersymmetry breaking, without fine tuning, which define a no-scale F(R) supergravity. The F(R) supergravities are suitable for physical applications in the inflationary cosmology based on supergravity and superstrings.

  • Scalar Potential in F(R) supergravity
    Classical and Quantum Gravity, 2009
    Co-Authors: Sergei V Ketov
    Abstract:

    We derive a Scalar Potential in the recently proposed N=1 supersymmetric generalization of f(R) gravity in four space-time dimensions. Any such higher-derivative supergravity is classically equivalent to the standard N=1 supergravity coupled to a chiral (matter) superfield, via a Legendre-Weyl transform in superspace. The Kaehler Potential, the superPotential and the Scalar Potential of that theory are all governed by a single holomorphic function. We also find the conditions for the vanishing cosmological constant and spontaneous supersymmetry breaking, without fine-tuning, which define a no-scale F(R) supergravity. The F(R) supergravities are suitable for physical applications in the inflationary cosmology based on supergravity and superstrings.

  • Instanton-induced Scalar Potential for the universal hypermultiplet
    Nuclear Physics B, 2003
    Co-Authors: Sergei V Ketov
    Abstract:

    Abstract We calculate the Scalar Potential in the gauged N =2 supergravity with a single hypermultiplet, whose generic quaternionic moduli space metric has an Abelian isometry. This isometry is gauged by the use of a graviphoton gauge field. The hypermultiplet metric and the Scalar Potential are both governed by the single real Potential that is a solution to the 3d (integrable) continuous Toda equation. An explicit solution, controlled by the Eisenstein series E 3/2 , is found in the case of the D -instanton-corrected universal hypermultiplet moduli space metric having an U (1)× U (1) isometry, with one of the isometries being gauged.