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There exist many four dimensional integrable theories. They include self-dual gauge and gravity theories, all their extended supersymmetric generalisations, as well the full (non-self-dual) N=3 super Yang-Mills equations. We review the…

High Energy Physics - Theory · Physics 2015-06-26 Ch. Devchand , V. Ogievetsky

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre'

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form $R^d \times \Sigma$ where $\Sigma$ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann…

High Energy Physics - Theory · Physics 2016-12-28 Juan Maldacena , Carlos Nunez

We propose a universal expression for the moduli metric of a class of four- and five-dimensional black holes which preserve at least four supersymmetries. These include the black holes that are associated with various intersecting branes in…

High Energy Physics - Theory · Physics 2009-10-09 J. Gutowski , G. Papadopoulos

We embed Kerr-Newman-AdS black holes into $\mathcal{N} = 8$ gauged supergravity and study quadratic fluctuations around the black hole backgrounds of all fields in the larger theory. The equations of motion of the perturbations are…

High Energy Physics - Theory · Physics 2024-11-26 Nizar Ezroura , Finn Larsen

A family of geometries on S^7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional riemannian geometry and the two exceptional Cartan-Schouten compact flat geometries with torsion, one…

High Energy Physics - Theory · Physics 2013-07-02 E. K. Loginov

We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincar\'e algebra. In three and four dimensions, besides the infinitesimal supertranslations…

General Relativity and Quantum Cosmology · Physics 2012-08-23 Glenn Barnich , Cédric Troessaert

Recently symmetries of gravity and gauge fields in the asymptotic regions of spacetime have been shown to play vital role in their low energy scattering phenomena. Further, for the black hole spacetime, near horizon symmetry has been…

General Relativity and Quantum Cosmology · Physics 2021-06-25 Mousumi Maitra , Debaprasad Maity , Bibhas Ranjan Majhi

We show that the irreducible components of any moduli space of semistable representations of a special biserial algebra are always isomorphic to products of projective spaces of various dimensions. This is done by showing that irreducible…

Representation Theory · Mathematics 2020-03-03 Andrew T. Carroll , Calin Chindris , Ryan Kinser , Jerzy Weyman

The four-dimensional gauge group of general relativity corresponds to arbitrary coordinate transformations on a four-manifold. Theories of gravity with a dynamical structure remarkably like Einstein's theory can be obtained on the basis of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Julian Barbour , Niall O Murchadha

We consider three dimensional $N=4$ flat supergravity, with an abelian R-symmetry enhancing the gravitational phase space. We obtain the field configuration whose asymptotic symmetries at null infinity coincide with the centrally extended…

High Energy Physics - Theory · Physics 2018-01-09 Nabamita Banerjee , Ivano Lodato , Turmoli Neogi

We present the first example of an interacting Carroll supersymmetric field theory with both temporal and spatial derivatives, belonging to the Galileon class, where the non-linear field equation remains second-order in derivative. To…

High Energy Physics - Theory · Physics 2025-04-21 Utku Zorba , Ilayda Bulunur , Oguzhan Kasikci , Mehmet Ozkan , Yi Pang , Mustafa Salih Zog

In this paper we study homogeneous backgrounds of type IIB supergravity where the underlying geometry is that of a symmetric space. We determine which ten-dimensional lorentzian symmetric spaces (up to local isometry) admit such backgrounds…

High Energy Physics - Theory · Physics 2015-06-11 José Figueroa-O'Farrill , Noel Hustler

We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimensional bulk supergravity solution. This leads to a systematic…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Pietro Benetti Genolini , Martin Fluder , Paul Richmond , James Sparks

We classify the $5$-dimensional homogeneous geometries in the sense of Thurston. The present paper (part 2 of 3) classifies those in which the linear isotropy representation is either irreducible or trivial. The $5$-dimensional geometries…

Geometric Topology · Mathematics 2016-05-25 Andrew Geng

We investigate higher dimensional Robinson-Trautman spacetimes with an electromagnetic field aligned with the hypersurface orthogonal, non-shearing, expanding geodesic null congruence. After integrating the system of Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcello Ortaggio , Jiri Podolsky , Martin Zofka

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the…

High Energy Physics - Theory · Physics 2022-08-10 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

Supersymmetric solutions of supergravity theories, and consequently metrics with special holonomy, have played an important role in the development of string theory. We describe how a Lorentzian manifold is either completely reducible, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Brannlund , A Coley , S Hervik

We show that each irreducible tensor representation of weight 2 of the rotation group of three-dimensional space in the space of rank 3 covariant tensors gives rise to an associative algebra with unity. We find the algebraic relations that…

High Energy Physics - Theory · Physics 2020-06-11 Viktor Abramov