## Supergravity

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### Murat Günaydin - One of the best experts on this subject based on the ideXlab platform.

• ##### unified non metric 1 0 tensor einstein Supergravity theories and 4 0 Supergravity in six dimensions
Journal of High Energy Physics, 2021
Co-Authors: Murat Günaydin
Abstract:

The ultrashort unitary (4, 0) supermultiplet of 6d superconformal algebra OSp(8∗|8) reduces to the CPT-self conjugate supermultiplet of 4d superconformal algebra SU(2, 2|8) that represents the fields of maximal N = 8 Supergravity. The graviton in the (4, 0) multiplet is described by a mixed tensor gauge field which can not be identified with the standard metric in 6d. Furthermore the (4, 0) supermultiplet can be obtained as a double copy of (2, 0) conformal supermultiplet whose interacting theories are non-Lagrangian. It had been suggested that an interacting non-metric (4, 0) Supergravity theory might describe the strongly coupled phase of 5d maximal Supergravity. In this paper we study the implications of the existence of an interacting non-metric (4, 0) Supergravity in 6d. The (4, 0) theory can be truncated to non-metric (1, 0) Supergravity coupled to 5,8 and 14 self-dual tensor multiplets that reduce to three of the unified magical Supergravity theories in d = 5. This implies that the three infinite families of unified N = 2, 5d Maxwell-Einstein Supergravity theories (MESGTs) plus two sporadic ones must have uplifts to unified non-metric (1, 0) tensor Einstein Supergravity theories (TESGT) in d = 6. These theories have non-compact global symmetry groups under which all the self-dual tensor fields including the gravitensor transform irreducibly. Four of these theories are uplifts of the magical Supergravity theories whose scalar manifolds are symmetric spaces. The scalar manifolds of the other unified theories are not homogeneous spaces. We also discuss the exceptional field theoretic formulations of non-metric unified (1, 0) tensor-Einstein Supergravity theories and conclude with speculations concerning the existence of higher dimensional non-metric Supergravity theories that reduce to the (4, 0) theory in d = 6.

• ##### Unified non-metric (1,0) tensor-Einstein Supergravity theories and (4,0) Supergravity in six dimensions.
arXiv: High Energy Physics - Theory, 2020
Co-Authors: Murat Günaydin
Abstract:

The ultrashort unitary (4,0) supermultiplet of 6d superconformal algebra OSp(8*|8) reduces to the CPT-self conjugate supermultiplet of 4d superconformal algebra SU(2,2|8) that represents the fields of maximal N=8 Supergravity. The graviton in the (4,0) multiplet is described by a mixed tensor gauge field which can not be identified with the standard metric in 6d. Furthermore the (4,0) supermultiplet can be obtained as a double copy of (2,0) conformal supermultiplet whose interacting theories are non-Lagrangian. It had been suggested that an interacting non-metric (4,0) Supergravity theory might describe the strongly coupled phase of 5d maximal Supergravity. In this paper we study the implications of the existence of an interacting non-metric (4,0) Supergravity in 6d. The (4,0) theory can be truncated to non-metric (1,0) Supergravity coupled to 5,8 and 14 self-dual tensor multiplets that reduce to three of the unified magical Supergravity theories in d=5. This implies that the three infinite families of unified N=2 , 5d Maxwell-Einstein Supergravity theories (MESGTs) plus two sporadic ones must have uplifts to unified non-metric (1,0) tensor Einstein Supergravity theories in d=6. These theories have non-compact global symmetry groups under which all the self-dual tensor fields including the gravitensor transform irreducibly. Four of these theories are uplifts of the magical Supergravity theories whose scalar manifolds are symmetric spaces. The scalar manifolds of the other unified theories are not homogeneous spaces. One of the infinite families of MESGTs can be gauged to obtain an infinite family of unified Yang-Mills Einstein Supergravity theories in d=5. Hence corresponding non-metric (1,0) tensor Einstein Supergravity theories must admit non-Abelian couplings while preserving their unified property.

• ##### scattering amplitudes in n 2 maxwell einstein and yang mills einstein Supergravity
arXiv: High Energy Physics - Theory, 2014
Co-Authors: Marco Chiodaroli, Murat Günaydin, Henrik Johansson, Radu Roiban
Abstract:

We expose a double-copy structure in the scattering amplitudes of the generic Jordan family of N=2 Maxwell-Einstein and Yang-Mills/Einstein Supergravity theories in four and five dimensions. The Maxwell-Einstein Supergravity amplitudes are obtained through the color/kinematics duality as a product of two gauge-theory factors; one originating from pure N=2 super-Yang-Mills theory and the other from the dimensional reduction of a bosonic higher-dimensional pure Yang-Mills theory. We identify a specific symplectic frame in four dimensions for which the on-shell fields and amplitudes from the double-copy construction can be identified with the ones obtained from the Supergravity Lagrangian and Feynman-rule computations. The Yang-Mills/Einstein Supergravity theories are obtained by gauging a compact subgroup of the isometry group of their Maxwell-Einstein counterparts. For the generic Jordan family this process is identified with the introduction of cubic scalar couplings on the bosonic gauge-theory side, which through the double copy are responsible for the non-abelian vector interactions in the Supergravity theory. As a demonstration of the power of this structure, we present explicit computations at tree-level and one loop. The double-copy construction allows us to obtain compact expressions for the Supergravity superamplitudes which are naturally organized as polynomials in the gauge coupling constant.

### Arkady A Tseytlin - One of the best experts on this subject based on the ideXlab platform.

• ##### d 4 super yang mills d 5 gauged Supergravity and d 4 conformal Supergravity
Nuclear Physics, 1998
Co-Authors: Hong Liu, Arkady A Tseytlin
Abstract:

Abstract We consider the role of N = 4 conformal Supergravity in the duality relation between N = 4 SYM theory and D = 5 gauged Supergravity expanded near the anti-de Sitter background. We discuss the structure of the SYM effective action in the conformal Supergravity background, in particular, terms related to conformal anomaly. Solving the leading-order Dirichlet problem for the metric perturbation in AdS background we explicitly compute the bilinear graviton term in the D = 5 Einstein action, demonstrating its equivalence to the linearised Weyl tensor squared part of the gravitational effective action induced by SYM theory. We also compute the graviton-dilaton-dilaton three-point function which is found to have the form consistent with conformal invariance of the boundary theory.

• ##### d 4 super yang mills d 5 gauged Supergravity and d 4 conformal Supergravity
arXiv: High Energy Physics - Theory, 1998
Co-Authors: Hong Liu, Arkady A Tseytlin
Abstract:

We consider the role of N=4 conformal Supergravity in the relation between N=4 SYM theory and D=5 gauged Supergravity expanded near the Anti de Sitter background. We discuss the structure of the SYM effective action in conformal Supergravity background, in particular, terms related to conformal anomaly. Solving the leading-order Dirichlet problem for the metric perturbation in AdS background we explicitly compute the bilinear graviton term in the D=5 Einstein action, demonstrating its equivalence to the linearized Weyl tensor squared part of the gravitational effective action induced by SYM theory. We also compute the graviton-dilaton-dilaton 3-point function which is found to have the form consistent with conformal invariance of the boundary theory.

### Renata Kallosh - One of the best experts on this subject based on the ideXlab platform.

• ##### matter coupled de sitter Supergravity
Theoretical and Mathematical Physics, 2016
Co-Authors: Renata Kallosh
Abstract:

The de Sitter Supergravity describes the interaction of Supergravity with general chiral and vector multiplets and also one nilpotent chiral multiplet. The extra universal positive term in the potential, generated by the nilpotent multiplet and corresponding to the anti-D3 brane in string theory, is responsible for the de Sitter vacuum stability in these Supergravity models. In the flat-space limit, these Supergravity models include the Volkov–Akulov model with a nonlinearly realized supersymmetry. We generalize the rules for constructing the pure de Sitter Supergravity action to the case of models containing other matter multiplets. We describe a method for deriving the closed-form general Supergravity action with a given potential K, superpotential W, and vectormatrix fAB interacting with a nilpotent chiral multiplet. It has the potential V = eK(|F2|+|DW|2-3|W|2), where F is the auxiliary field of the nilpotent multiplet and is necessarily nonzero. The de Sitter vacuums are present under the simple condition that |F2|-3|W|2 > 0. We present an explicit form of the complete action in the unitary gauge.

• ##### pure de sitter Supergravity
Physical Review Letters, 2015
Co-Authors: Eric Bergshoeff, Renata Kallosh, Daniel Z Freedman, Antoine Van Proeyen
Abstract:

Circumventing a no-go theorem established in 1977 by nonlinearly realized supersymmetry, the authors construct for the first time a pure (without additional fields) $N=1$ Supergravity with positive cosmological constant. Besides the theoretical achievement, given the observational evidence for an accelerating universe, a simple version of de Sitter Supergravity is of broad interest.

• ##### matter coupled de sitter Supergravity
arXiv: High Energy Physics - Theory, 2015
Co-Authors: Renata Kallosh
Abstract:

De Sitter Supergravity describes interaction of Supergravity with general chiral and vector multiplets as well as one nilpotent chiral multiplet. The extra universal positive term in the potential due to the nilpotent multiplet, corresponding to the anti-D3 brane in string theory, supports de Sitter vacua in these Supergravity models. In the flat space limit these Supergravity models include the Volkov-Akulov model with a non-linearly realized supersymmetry. The rules for constructing pure de Sitter Supergravity action are generalized here in presence of other matter multiplets. We present a strategy to derive the complete closed form general Supergravity action with a given Kahler potential $K$, superpotential $W$ and vector matrix $f_{AB}$ interacting with a nilpotent chiral multiplet. It has the potential $V=e^K(|F^2 |+ |DW|^2 - 3 |W|^2)$, where $F$ is a necessarily non-vanishing value of the auxiliary field of the nilpotent multiplet. De Sitter vacua are present under simple condition that $|F^2|- 3|W|^2>0$. A complete explicit action in the unitary gauge is presented.

• ##### inflation and uplifting with nilpotent superfields
Journal of Cosmology and Astroparticle Physics, 2015
Co-Authors: Renata Kallosh, Andrei Linde
Abstract:

Recently it was found that a broad class of existing inflationary models based on Supergravity can be significantly simplified if some of the standard, unconstrained chiral superfields are replaced by nilpotent superfields, associated with Volkov-Akulov supersymmetry. The same method allows to simplify the existing models of uplifting of AdS vacua in string theory. In this paper we will show that one can go well beyond simplifying the models that already exist. We will propose a broad class of new models of chaotic inflation based on Supergravity with nilpotent superfields, which simultaneously incorporate both inflation and uplifting. They provide a simple unified description of inflation and the present acceleration of the universe in the Supergravity context.

• ##### cosmological attractor models and higher curvature Supergravity
arXiv: High Energy Physics - Theory, 2014
Co-Authors: Sergio Cecotti, Renata Kallosh
Abstract:

We study cosmological $\alpha$-attractors in superconformal/Supergravity models, where $\alpha$ is related to the geometry of the moduli space. For $\alpha=1$ attractors \cite{Kallosh:2013hoa} we present a generalization of the previously known manifestly superconformal higher curvature Supergravity model \cite{Cecotti:1987sa}. The relevant standard 2-derivative Supergravity with a minimum of two chiral multiplets is shown to be dual to a 4-derivative higher curvature Supergravity, where in general one of the chiral superfields is traded for a curvature superfield. There is a degenerate case when both matter superfields become non-dynamical and there is only a chiral curvature superfield, pure higher derivative Supergravity. Generic $\alpha$-models \cite{Kallosh:2013yoa} interpolate between the attractor point at $\alpha=0$ and generic chaotic inflation models at large $\alpha$, in the limit when the inflaton moduli space becomes flat. They have higher derivative duals with the same number of matter fields as the original theory or less, but at least one matter multiplet remains. In the context of these models, the detection of primordial gravity waves will provide information on the curvature of the inflaton submanifold of the Kahler manifold, and we will learn if the inflaton is a fundamental matter multiplet, or can be replaced by a higher derivative curvature excitation.

### Paul K Townsend - One of the best experts on this subject based on the ideXlab platform.

• ##### new supergravities with central charges and killing spinors in 2 1 dimensions
arXiv: High Energy Physics - Theory, 1995
Co-Authors: P S Howe, J M Izquierdo, G Papadopoulos, Paul K Townsend
Abstract:

We construct a new class of $(p,q)$-extended Poincar\'e Supergravity theories in 2+1 dimensions as Chern-Simons theories of supersymmetry algebras with both central and automorphism charges. The new theories have the advantage that they are limits of corresponding $(p,q)$ adS Supergravity theories and, for not too large a value of $N=p+q$, that they have a natural formulation in terms of off-shell superfields, in which context the distinction between theories having the same value of $N$ but different $(p,q)$ arises because of inequivalent conformal compensator superfields. We also show that, unlike previously constructed N-extended Poincar\'e Supergravity theories, the new (2,0) theory admits conical spacetimes with Killing spinors. Many of our results on (2,0) Poincar\'e Supergravity continue to apply in the presence of coupling to N=2 supersymmetric sigma-model matter.

• ##### higher dimensional resolution of dilatonic black hole singularities
Classical and Quantum Gravity, 1995
Co-Authors: G W Gibbons, Gary T Horowitz, Paul K Townsend
Abstract:

We show that the four-dimensional extreme dilaton black hole with dilaton coupling constant can be interpreted as a completely non-singular, non-dilatonic, black p-brane in (4+p) dimensions provided that p is odd. Similar results are obtained for multi-black-holes and dilatonic extended objects in higher spacetime dimensions. The non-singular black p-brane solutions include the self-dual 3-brane of ten-dimensional N=2B Supergravity and a multi-5-brane solution of eleven-dimensional Supergravity. In the case of a supersymmetric non-dilatonic p-brane solution of a Supergravity theory, we show that it saturates a bound on the energy per unit p-volume of all field configurations of appropriate asymptotic behaviour which are non-singular on some initial hypersurface.

• ##### higher dimensional resolution of dilatonic black hole singularities
arXiv: High Energy Physics - Theory, 1994
Co-Authors: G W Gibbons, Gary T Horowitz, Paul K Townsend
Abstract:

We show that the four-dimensional extreme dilaton black hole with dilaton coupling constant $a= \sqrt{p/(p+2)}$ can be interpreted as a {\it completely non-singular}, non-dilatonic, black $p$-brane in $(4+p)$ dimensions provided that $p$ is {\it odd}. Similar results are obtained for multi-black holes and dilatonic extended objects in higher spacetime dimensions. The non-singular black $p$-brane solutions include the self-dual three brane of ten-dimensional N=2B Supergravity and a multi-fivebrane solution of eleven-dimensional Supergravity. In the case of a supersymmetric non-dilatonic $p$-brane solution of a Supergravity theory, we show that it saturates a bound on the energy per unit $p$-volume.

### Kiril Hristov - One of the best experts on this subject based on the ideXlab platform.

• ##### holographic microstate counting for ads _4 black holes in massive iia Supergravity
arXiv: High Energy Physics - Theory, 2017
Co-Authors: Seyed Morteza Hosseini, Kiril Hristov, Achilleas Passias
Abstract:

We derive the Bekenstein-Hawking entropy for a class of BPS black holes in the massive type IIA Supergravity background AdS$_4 \times S^6$ from a microscopic counting of supersymmetric ground states in a holographically dual field theory. The counting is performed by evaluating the topologically twisted index of three-dimensional $\mathcal{N}=2$ Chern-Simons-matter gauge theories in the large $N$ limit. The $\mathcal{I}$-extremization principle is shown to match the attractor mechanism for the near-horizon geometries constructed in the four-dimensional dyonic $\mathcal{N}=2$ gauged Supergravity, that arises as a consistent truncation of massive type IIA Supergravity on $S^6$. In particular, our results prove that the imaginary part of the three-dimensional partition functions plays a crucial role in holography.

• ##### static supersymmetric black holes in ads4 with spherical symmetry
Journal of High Energy Physics, 2011
Co-Authors: Kiril Hristov, Stefan Vandoren
Abstract:

We elaborate further on the static supersymmetric AdS4 black holes found in [1], investigating thoroughly the BPS constraints for spherical symmetry in N = 2 gauged Supergravity in the presence of Fayet-Iliopoulos terms. We find Killing spinors that preserve two of the original eight supercharges and investigate the conditions for genuine black holes free of naked singularities. The existence of a horizon is intimately related with the requirement that the scalars are not constant, but given in terms of harmonic functions in analogy to the attractor flow in ungauged Supergravity. The black hole charges depend on the choice of the electromagnetic gauging, with only magnetic charges for purely electric gaugings. Finally we show how these black holes can be embedded in N = 8 Supergravity and thus in M-theory.