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We discuss some attempts for the construction of gravity duals of QCD-like theories. It is analysed some properties of solutions of 10D Type IIB supergravity theory that attempt to be dual to $\mathcal{N}$=1 gauge theories, in particular…

High Energy Physics - Theory · Physics 2017-04-12 Wayne de Paula

We analyze the supersymmetry conditions for a class of SU(2) structure backgrounds of Type IIB supergravity, corresponding to a specific ansatz for the supersymmetry parameters. These backgrounds are relevant for the AdS/CFT correspondence…

High Energy Physics - Theory · Physics 2009-11-11 Ruben Minasian , Michela Petrini , Alberto Zaffaroni

We find solutions of the six-dimensional maximal supergravity by adding a perturbation of vector fields to the solution AdS${}_3$ $\times$ S${}^3$. For certain perturbations the solution represents a dual description of an ${\cal N}=(4,0)$…

High Energy Physics - Theory · Physics 2009-11-07 Madoka Nishimura

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

General Relativity and Quantum Cosmology · Physics 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

We present string duals of four dimensional N=2 pure SU(N) SYM theory. The theory is obtained as the low energy limit of D5-branes wrapped on non-trivial two-cycles. Using seven dimensional gauged supergravity and uplifting the result to…

High Energy Physics - Theory · Physics 2009-11-07 F. Bigazzi , A. L. Cotrone , A. Zaffaroni

We study the gravitational duals of $d$-dimensional Yang-Mills theories with $d\leq 6$ in the presence of an ${\cal O} (N^2)$ density of heavy quarks, with $N$ the number of colors. For concreteness we focus on maximally supersymmetric…

High Energy Physics - Theory · Physics 2015-06-23 Anton F. Faedo , Arnab Kundu , David Mateos , Javier Tarrio

We bootstrap loop corrections to AdS${}_5$ supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. In particular this yields much…

High Energy Physics - Theory · Physics 2018-02-14 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We revisit Type IIB supergravity backgrounds with null and spacelike singularities with natural gauge theory duals proposed in {\tt hep-th/0602107} and {\tt hep-th/0610053}. We show that for these backgrounds there are always choices of the…

High Energy Physics - Theory · Physics 2008-11-26 Adel Awad , Sumit R. Das , K. Narayan , Sandip P. Trivedi

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 construct type IIB supergravity duals of non-anticommutative deformed N = 4 SU(N) gauge theories. We consider in particular deformations preserving N = (1,0) and N = (1/2,0) supersymmetry. Such theories can be realised on N D3-branes in…

High Energy Physics - Theory · Physics 2010-02-03 Chong-Sun Chu , Shou-Huang Dai , Douglas J. Smith

In this paper we prove a positive energy theorem related to fourth-order gravitational theories, which is a higher-order analogue of the classical ADM positive energy theorem of general relativity. We will also show that, in parallel to the…

Differential Geometry · Mathematics 2021-12-01 Rodrigo Avalos , Paul Laurain , Jorge Lira

We describe the general BPS system that governs the gravity duals of N=(0,2) two-dimensional superconformal field theories in the low-energy limit of M5-branes on a four-manifold, M4. In order to preserve supersymmetry, we restrict to cases…

High Energy Physics - Theory · Physics 2015-08-19 Ibrahima Bah , Vasilis Stylianou

In this note, we propose gravity duals for 3+1 dimensional Lorentz invariant theories exhibiting discrete scale invariance. We construct non-singular solutions of a six dimensional gravitational theory that are warped products of $AdS_{5}$…

High Energy Physics - Theory · Physics 2013-01-29 Koushik Balasubramanian

Many examples of gravitational duals exist of theories that are highly supersymmetric and conformal in the UV yet have the same massless states as {\cal N}=2,1,0 QCD. We discuss such theories with an explicit UV cutoff and propose that, by…

High Energy Physics - Theory · Physics 2009-11-11 Nick Evans , Jonathan P. Shock , Tom Waterson

Gauge/Gravity dualities open the non-perturbative realms of strongly-coupled gauge theories to analytic treatment. Anti-de Sitter Space/Conformal Field The- ory, one way of connecting gravity dual models to gauge theories, is a correspon-…

High Energy Physics - Phenomenology · Physics 2011-08-03 Thomas M. Kelley

It is shown that all vacuum solutions of Einstein field equation with a positive cosmological constant are the solutions of a model of dS gauge theory of gravity. Therefore, the model is expected to pass the observational tests on the scale…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chao-Guang Huang , Yu Tian , Xiaoning Wu , Han-Ying Guo

In the standard Einstein's theory the exterior gravitational field of any static and axially symmetric stellar object can be described by means of a single function from which we obtain a metric into a four-dimensional space-time. In this…

General Relativity and Quantum Cosmology · Physics 2024-02-19 J. L. Hernández-Pastora

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory. Brane solutions are surveyed. The geometry and symmetries of…

High Energy Physics - Theory · Physics 2007-05-23 Eric D'Hoker , Daniel Z. Freedman

In this letter we discuss the relation of four-dimensional, $N=2$ supersymmetric string backgrounds to integrable models. In particular we show that non-K\"ahlerian gravitational backgrounds with one $U(1)$ isometry plus non-trivial…

High Energy Physics - Theory · Physics 2016-08-14 Gabriel Lopes Cardoso , Dieter Lüst

We show that self-dual gravity in Euclidean four-dimensional Anti-de Sitter space (AdS$_4$) can be described by a minimally coupled scalar field with a cubic interaction written in terms of a deformed Poisson bracket, providing a remarkably…

High Energy Physics - Theory · Physics 2023-08-03 Arthur Lipstein , Silvia Nagy