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There are five maximally supersymmetric backgrounds in four-dimensional off-shell N=1 supergravity, two of which are well known: Minkowski superspace M^{4|4} and anti-de Sitter superspace AdS^{4|4}. The three remaining supermanifolds…

High Energy Physics - Theory · Physics 2016-09-21 Sergei M. Kuzenko

We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular…

High Energy Physics - Theory · Physics 2020-08-26 Shin'ichi Nojiri , Sergei D. Odintsov

We simplify and extend the construction of half-BPS solutions to 11-dimensional supergravity, with isometry superalgebra D(2,1;\gamma) \oplus D(2,1;\gamma). Their space-time has the form AdS_3 x S^3 x S^3 warped over a Riemann surface…

High Energy Physics - Theory · Physics 2015-06-18 Constantin Bachas , Eric D'Hoker , John Estes , Darya Krym

We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several four- and six-dimensional higher-curvature theories of gravity with various base spaces $\mathcal{B}$. In $D=4$, we consider Einsteinian cubic gravity, for…

High Energy Physics - Theory · Physics 2018-11-14 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann

The non-linear duality relation between the gravity and dual gravity fields are found in E theory by carrying out $E_{11}$ variations of previously found duality relations. We also find the dual graviton equation of motion up to the…

High Energy Physics - Theory · Physics 2020-08-25 Alexander G. Tumanov , Peter West

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric…

High Energy Physics - Theory · Physics 2015-06-05 David S. Berman , Edvard T. Musaev , Daniel C. Thompson

We present a review of supersymmetry, supergravity, and the non-perturbative dynamics of gauge theories, tracing a path from the supersymmetry algebra to moduli stabilisation and de~Sitter vacua in string theory. Representations of the…

High Energy Physics - Theory · Physics 2026-04-23 Tetiana Obikhod

In this article, we consider a class of four-dimensional Einstein-Maxwell theory which is coupled non-minimally to a scalar field and the Gauss-Bonnet invariant. We mainly use the numerical methods to find the solutions to the theory, with…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Michael Butler , Masoud Ghezelbash

Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal, we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton…

High Energy Physics - Theory · Physics 2015-06-22 S. Sadeghian , M. M. Sheikh-Jabbari , H. Yavartanoo

We construct supergravity solutions for Dp-branes at orbifold points. The solutions are written in terms of a single function, which is the solution to a nonlinear differential equation. The near horizon limits of these solutions are dual,…

High Energy Physics - Theory · Physics 2009-10-31 A. Rajaraman

We derive the U-duality charge orbits, as well as the related moduli spaces, of "large" and "small" extremal black holes in non-maximal ungauged Maxwell-Einstein supergravities with symmetric scalar manifolds in d=5 space-time dimensions.…

High Energy Physics - Theory · Physics 2014-11-21 Bianca L. Cerchiai , Sergio Ferrara , Alessio Marrani , Bruno Zumino

A suitable generalisation of the Lichnerowicz formula can relate the squares of supersymmetric operators to the effective action, the Bianchi identities for fluxes, and some equations of motion. Recently, such formulae have also been shown…

High Energy Physics - Theory · Physics 2017-05-15 André Coimbra , Ruben Minasian

We construct a new SO(3)$\times$SO(3) invariant non-supersymmetric solution of the bosonic field equations of $D=11$ supergravity from the corresponding stationary point of maximal gauged $N=8$ supergravity by making use of the non-linear…

High Energy Physics - Theory · Physics 2015-06-23 Hadi Godazgar , Mahdi Godazgar , Olaf Krueger , Hermann Nicolai , Krzysztof Pilch

Over the last decade, non-relativistic theories have attracted considerable attention. In general, such theories can be obtained by contracting relativistic parent theories. In this work, we discuss features of non-relativistic…

High Energy Physics - Theory · Physics 2026-04-13 Osman Ergec

We construct the N=1 three-dimensional supergravity theory with cosmological, Einstein-Hilbert, Lorentz Chern-Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of…

High Energy Physics - Theory · Physics 2010-01-06 Roel Andringa , Eric A. Bergshoeff , Mees de Roo , Olaf Hohm , Ergin Sezgin , Paul K. Townsend

We obtain a gauged supergravity theory in three dimensions with eight real supersymmetries by means of a Scherk-Schwarz reduction of pure N=(1,0) supergravity in six dimension on the SU(2) group manifold. The SU(2) Yang-Mills fields in the…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , E. Sezgin

One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed…

Mathematical Physics · Physics 2007-05-23 J. Beckers , N. Debergh , A. G. Nikitin

Recently proposed exceptional field theories (EFTs) making manifest the duality $E_{n(n)}$ symmetry, first observed as nonlinearly realized symmetries of the maximal $d=3,4,...,9$ supergravity ($n=11-d$) and containing 11D and type IIB…

High Energy Physics - Theory · Physics 2017-11-28 Igor Bandos

We define a holographic dual to the Donaldson-Witten topological twist of $\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to $\mathcal{N}=4$ gauged…

High Energy Physics - Theory · Physics 2019-07-30 Pietro Benetti Genolini , Paul Richmond , James Sparks

Demanding the existence of a simple holographic $c$-theorem, it is shown that a general (parity preserving) theory of gravity in 2+1 dimensions involving upto four derivative curvature invariants reduces to the new massive gravity theory.…

High Energy Physics - Theory · Physics 2015-03-13 Aninda Sinha