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We calculate the dimensions of operators in three and six dimensional superconformal field theories by using the duality between these theories at large N and D=11 supergravity on $AdS_{4/7} \times S^{7/4}$. We find that for the duality…

High Energy Physics - Theory · Physics 2010-02-03 Edi Halyo

Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive an exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions describing a system of two general…

High Energy Physics - Theory · Physics 2011-05-05 Cristian Stelea , Kristin Schleich , Donald Witt

We consider the most general class of supersymmetric solutions of D=11 supergravity consisting of a warped product of AdS_5 with a six-dimensional internal manifold N_6, which are dual to N=2 super conformal field theories in d=4. For any…

High Energy Physics - Theory · Physics 2014-11-18 Jerome P. Gauntlett , Oscar Varela

Gravity coupled three--dimensional $\sigma$--model describing the stationary Einstein--Maxwell--dilaton system with general dilaton coupling is studied. Killing equations for the corresponding five--dimensional target space are integrated.…

High Energy Physics - Theory · Physics 2014-11-18 D. V. Gal'tsov , A. A. Garcia , O. V. Kechkin

We show how toroidally-compactified eleven-dimensional supergravity can be consistently truncated to yield a variety of maximally-supersymmetric ``massive'' supergravities in spacetime dimensions $D\le 8$. The mass terms arise as a…

High Energy Physics - Theory · Physics 2009-10-07 P. M. Cowdall , H. Lu , C. N. Pope , K. S. Stelle , P. K. Townsend

We illustrate the main features of a new Kaluza-Klein-like scheme (Deformed Relativity in five dimensions). It is based on a five-dimensional Riemannian space in which the four-dimensional space-time metric is deformed (i.e. it depends on…

High Energy Physics - Theory · Physics 2025-02-06 Fabio Cardone , Alessio Marrani , Roberto Mignani

The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with…

High Energy Physics - Theory · Physics 2014-11-18 Eckehard W. Mielke

The gravity coupling of the symmetric space sigma model is studied in the solvable Lie algebra parametrization. The corresponding Einstein's equations are derived and the energy-momentum tensor is calculated. The results are used to derive…

General Relativity and Quantum Cosmology · Physics 2014-05-27 Nejat Tevfik Yilmaz

We extend the techniques of double field theory to more general gravity theories and U-duality symmetries, having in mind applications to the complete D=11 supergravity. In this paper we work out a (3+3)-dimensional `U-duality…

High Energy Physics - Theory · Physics 2015-06-16 Olaf Hohm , Henning Samtleben

We construct two classes of higher-derivative supergravity theories generalizing Einstein supergravity. We explore their dynamical content as well as their vacuum structure. The first class is found to be equivalent to Einstein supergravity…

High Energy Physics - Theory · Physics 2009-10-28 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We show that topologically massive gravity can be obtained by the consistent Kaluza-Klein reduction from recently constructed seven-dimensional gravity with topological terms. The internal four-manifold should be Einstein with the…

High Energy Physics - Theory · Physics 2010-10-01 H. Lu , Zhao-Long Wang

We provide a consistent N=4 Kaluza-Klein truncation of type IIB supergravity on general 5-dimensional squashed Sasaki-Einstein manifolds. Our reduction ansatz keeps all and only the supergravity modes dual to the universal gauge sector of…

High Energy Physics - Theory · Physics 2010-12-15 Davide Cassani , Gianguido Dall'Agata , Anton F. Faedo

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

A framework based on an extension of Kaluza's original idea of using a five dimensional space to unify gravity with electromagnetism is used to analyze Maxwell\'{}s field equations. The extension consists in the use of a six dimensional…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Ana Laura García-Perciante , Alfredo Sandoval-Villalbazo , L. S. García Colín

We review some properties of the Einstein-"Gauss-Bonnet" equations for gravity--also called the Einstein-Lanczos equations in five and six dimensions, and the Lovelock equations in higher dimensions. We illustrate, by means of simple…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nathalie Deruelle , John Madore

We consider supergravity in twelve dimension, whose dimensional reduction yields eleven-dimensional, IIA, and IIB supergravities. This also provides the effective field theory of F-theory. We must take one direction as a compact circle, so…

High Energy Physics - Theory · Physics 2015-10-28 Kang-Sin Choi

The free (4,0) superconformal theory in 6 dimensions and its toroidal dimensional reductions are studied. The reduction to four dimensions on a 2-torus has an $SL(2,\Z)$ duality symmetry that acts non-trivially on the linearised gravity…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull

We study the supergravity duals of supersymmetric theories arising in the world-volume of D6 branes wrapping holomorphic two-cycles and special Lagrangian three-cycles within the framework of eight dimensional gauged supergravity. When…

High Energy Physics - Theory · Physics 2010-02-03 Jose D. Edelstein , Carlos Nunez

By extending original Kaluza-Klein theory to 6-dimension, the basic quantum field equations for 0-spin particle, 1-spin particle and 1/2 spin particle with mass >0 are directly derived from 6-dimensional Einstein equations. It shows that…

General Physics · Physics 2007-05-23 Xiaodong Chen

We consider a five-dimensional Einstein-Gauss-Bonnet model, which gives rise after dimensional reduction to Einstein gravity nonminimally coupled to nonlinear electrodynamics. The black hole solutions of the four-dimensional model modify…

General Relativity and Quantum Cosmology · Physics 2023-12-01 S. Mignemi