Showing papers on "Higher-dimensional supergravity published in 2022"
TL;DR: In this article , a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations was developed, which facilitates generalization to U-dual covariant formulations of eleven-dimensional supergravity.
Abstract: We develop a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations, that facilitates generalization to U-duality covariant formulations of eleven-dimensional supergravity. The latter leads to a modification of the eleven-dimensional supergravity equations with terms that contain a rank-2 tensor field $J^{mn}$ which is the eleven-dimensional analog of the non-unimodularity Killing vector $I^m$ in ten dimensions.
3 citations
14 Oct 2022
TL;DR: In this article , a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity was studied.
Abstract: We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The new solutions are characterised by an underlying 6-algebra structure. Our construction provides an 11-dimensional uplift of four-dimensional ISO(7) gauged supergravity, using $E_7$ exceptional geometry techniques. We focus on an example where we start with the D2 solution in type IIA supergravity and construct a new $\tfrac12$-BPS 11-dimensional solution.
27 Jan 2022
TL;DR: In this paper , the dual charges of supergravity in asymptotically flat space-time were studied and conjugated to supersymmetry, diffeomorphism and Lorentz transformations.
Abstract: In this paper we study the dual charges of $\mathcal{N}=1$ supergravity in asymptotically flat space-time. The action considered is the usual supergravity action with a topological contribution. This is the Nieh-Yan term and the magnetic term of the free Rarita-Schwinger field. Through methods of the covariant phase space formalism we construct the charges conjugate to supersymmetry, diffeomorphism and Lorentz transformations. The additional term in the action will lead to new, non-vanishing contributions to these charges. The magnetic diffeomorphism charges are equivalent to the ones previously found for gravity, while the dual supersymmetric charges are new and do not appear for the free Rarita-Schwinger field. The dual Lorentz charges serve to regularize the previous two. We find that the asymptotic symmetry group for supergravity can only include globally well-defined super-rotations.
08 Nov 2022
TL;DR: In this paper , the double-copy was used to construct theories of Dirac-Born-Infeld-Volkov-Akulov (DBIVA) coupled to supergravity.
Abstract: Key to the simplicity of supergravity alpha-attractor models of inflation are Volkov-Akulov fermions, often in the form of nilpotent superfields. Here we explore the possibility of using the double-copy to construct theories of Dirac-Born-Infeld-Volkov-Akulov (DBIVA) coupled to supergravity. A color-dual bootstrap admits scattering amplitudes involving pions and vectors through five-point tree-level order by order in mass-dimension, but requires the introduction of a tr(F^3) operator. Gauge theories with this operator were recently found to require a tower of higher-derivative operators to be compatible with the duality between color and kinematics. Adjoint-type double-copy construction at its most conservative seems to require the UV completion of DBVIA + pure Poincare supergravity scattering amplitudes to a family of theories involving DBVIA-like particles coupled to Weyl-Einstein supergravity. We also point out an alternative solution to color-dual gauged pions that allows adjoint double-copy without a tower of higher derivative corrections but at the cost of exchange symmetry between scalars.
31 Oct 2022
TL;DR: The superspace formalism for supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings as mentioned in this paper .
Abstract: The superspace formalism for $\mathcal{N}=1$ supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings. This review provides a unified description of the three superspace approaches to $\mathcal{N}=1$ conformal supergravity: (i) conformal superspace; (ii) $\mathsf{U}(1)$ superspace; and (iii) the Grimm-Wess-Zumino formalism. The prepotential formulation for the latter is discussed. We briefly describe the known off-shell formulations for Poincar\'e and anti-de Sitter supergravity theories as conformal supergravity coupled to certain compensators. As simple applications of the formalism, we present the superfield equations of motion for various off-shell formulations for pure Poincar\'e and anti-de Sitter supergravity, and show that every solution of these equations is also a solution of the equations of motion for conformal supergravity.
TL;DR: In this article , a generalised version of U-duality is used to generate solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity.
Abstract: A bstract We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The new solutions are characterised by an underlying 6-algebra structure. Our construction provides an 11-dimensional uplift of four-dimensional ISO(7) gauged supergravity, using E 7 exceptional geometry techniques. We focus on an example where we start with the D2 solution in type IIA supergravity and construct a new $$ \frac{1}{2} $$ 1 2 -BPS 11-dimensional solution.
TL;DR: In this article , the auxiliary fields for simple supergravity and its most general coupling to matter using the tensor calculus are reviewed as well as the auxiliary supergravity fields for the 1.5 formalism.
Abstract: The 1.5 formalism played a key role in the discovery of supergravity and it has been used to prove the invariance of essentially all supergravity theories under local supersymmetry. It emerged from the gauging of the super Poincaré group to find supergravity. We review both of these developments as well as the auxiliary fields for simple supergravity and its most general coupling to matter using the tensor calculus.
12 Nov 2022
TL;DR: In this paper , the superconformal approach was used to derive the higher derivative action for N = 3 Poincare supergravity in four space-time dimensions, and the truncation of the action at fourth order in derivatives is a consistent truncation.
Abstract: In this paper, we use the superconformal approach to derive the higher derivative action for N = 3 Poincare supergravity in four space-time dimensions. We first study the coupling of N = 3 vector multiplets to conformal supergravity. Thereafter we combine it with the pure N = 3 conformal supergravity action and use a minimum of three vector multiplets as compensators to arrive at Poincare supergravity with higher derivative corrections. We give a general prescription on how to eliminate the auxiliary fields in an iterative manner and obtain the supergravity action order by order in derivatives. We also show that the truncation of the action at fourth order in derivatives is a consistent truncation.
12 Oct 2022
TL;DR: In this article , the main focus is on the use of the formalism in maximal supergravity on a flat background, and the basics of pure spinor superfields and their relation to standard superspace are reviewed.
Abstract: This is an overview of the method of pure spinor superfields, written for "Handbook of Quantum Gravity", eds. C. Bambi, L. Modesto and I. Shapiro. The main focus is on the use of the formalism in maximal supergravity on a flat background. The basics of pure spinor superfields, and their relation to standard superspace, is reviewed. The pure spinor superstring model of Berkovits is briefly discussed. Consequences for divergence properties of loop diagrams in maximal supergravity are restated. Some final remarks are made concerning desirable development of the theoretical framework.
04 Nov 2022
TL;DR: In this article , the authors give an overview of the different non-Lorentzian supergravity theories in diverse dimensions that have been constructed in recent years and discuss some of the construction methods that can be applied to obtain non-linear supergravity.
Abstract: We give an overview of the different non-Lorentzian supergravity theories in diverse dimensions that have been constructed in recent years. After giving a detailed discussion of non-Lorentzian geometries as compared to Lorentzian geometries, we outline some of the construction methods that have been applied to obtain non-Lorentzian supergravity. Explicit results are given for non-Lorentzian supergravity theories in three and ten dimensions.
27 Jun 2022
TL;DR: In this article , a locally supersymmetric effective field theory of inflation was proposed by taking into account recently-proposed reformulations of supergravity that can enlarge the space of scalar potentials.
Abstract: Supergravity, a locally supersymmetric gauge theory, may provide to describe new physics beyond the Standard Model (BSM). In this sense, cosmological applications of supergravity can be the arena for probing outcomes of supergravity. It is also attractive that supergravity can appear as a low-energy effective theory of superstrings, a possible candidate of quantum gravity. Nevertheless, it is not trivial to build inflationary models in supergravity due to difficulties arising mainly from the extremely constrained form of supergravity scalar potentials, complicated structure of interaction terms, and excessive scalar degrees of freedom. These obstructions generally make it challenging to contrive a desirable inflationary trajectory, perform the moduli stabilization to obtain the stable de-Sitter phase, and make extra scalars to be much heavier than the Hubble scale to get single field inflation. Besides, supergravity predicts many non-renormalizable interactions. It thus arises as effective field theory (EFT) which can be valid only up to typical energies $E$ below its ultraviolet cutoff scale $\Lambda_{cut}$, and up to some accuracy of $(E/\Lambda_{cut})^n$ that we desire. We note that these non-renormalizable terms may affect physics during and/or after inflation. From such points of view, it is very important in supergravity to find the method for relaxing the scalar potentials, and flexible scalar field dynamics (particularly for inflaton), and examine self-consistency at the quantum level. In this thesis, therefore, we construct locally supersymmetric effective field theories of inflation (with KKLT string background) by taking into account recently-proposed reformulations of $\mathcal{N}=1$ supergravity that can enlarge the space of scalar potentials.
06 Jul 2022
TL;DR: In this paper , it was shown that membrane and fivebrane of D=11 supergravity theory can support nongauge, linearized spin-3/2 superhairs.
Abstract: It is shown that membrane and fivebrane of D=11 supergravity theory can support nongauge, linearized spin-3/2 superhairs. Supercharges associated with these fields are calculated. We also generalize the solutions to some overlapping cases and discuss possible implications of their existence.