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AdS/CFT-correspondence establishes a relationship between supersymmetric gravity (SUGRA) on Anti-de-Sitter (AdS) space and supersymmetric Yang-Mills (SYM) theory which is conformaly invariant (CFT). The AdS space is the solution of the…

High Energy Physics - Theory · Physics 2007-05-23 E. T. Akhmedov

We investigate the AdS/CFT correspondence for higher-derivative gravity systems, and develop a formalism in which the generating functional of the boundary field theory is given as a functional that depends only on the boundary values of…

High Energy Physics - Theory · Physics 2009-11-07 Masafumi Fukuma , So Matsuura , Tadakatsu Sakai

We revisit some properties of AdS$_2$ Einstein-Maxwell gravity with the aim of reconciling apparently conflicting results in prior literature. We show that the two dimensional theory can be obtained as a dimensional reduction of the three…

High Energy Physics - Theory · Physics 2014-11-10 Alejandra Castro , Wei Song

We study stress tensor correlation functions in four-dimensional conformal field theories with large $N$ and a sparse spectrum. Theories in this class are expected to have local holographic duals, so effective field theory in anti-de Sitter…

High Energy Physics - Theory · Physics 2018-01-17 Nima Afkhami-Jeddi , Thomas Hartman , Sandipan Kundu , Amirhossein Tajdini

We hereby study the properties of a large class of weakly nonlocal gravitational theories around the (anti-) de Sitter spacetime background. In particular, we explicitly prove that the kinetic operator for the graviton field has the same…

High Energy Physics - Theory · Physics 2018-08-16 Alexey S. Koshelev , K. Sravan Kumar , Leonardo Modesto , Leslaw Rachwal

We construct black hole solutions in four-dimensional quadratic gravity, supported by a scalar field conformally coupled to quadratic terms in the curvature. The conformal matter Lagrangian is constructed with powers of traces of a…

High Energy Physics - Theory · Physics 2020-05-20 Nicolas Caceres , Jose Figueroa , Julio Oliva , Marcelo Oyarzo , Ricardo Stuardo

We show that standard Einstein gravity coupled to a free conformal field theory (CFT) in Anti de Sitter space can undergo a Higgs phenomenon whereby the graviton acquires a nonzero mass (and three extra polarizations). We show that the…

High Energy Physics - Theory · Physics 2010-02-03 M. Porrati

We show how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance. To this end, we construct a wide class of models with nonpropagaing torsion and a nonminimally coupled scalar field. In…

High Energy Physics - Theory · Physics 2021-12-08 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

In this review, we summarize recent findings that show how standard 4-d Einstein gravity coupled to a conformal field theory can become massive in Anti de Sitter Space. Key ingredients in this phenomenon are non-standard ``transparent''…

High Energy Physics - Theory · Physics 2009-11-10 M. Porrati

The gauge-gravity duality can be used to relate connected multi-point graviton functions to connected multi-point correlation functions of the stress tensor of a strongly coupled fluid. Here, we show how to construct the connected graviton…

High Energy Physics - Theory · Physics 2015-06-12 Ram Brustein , A. J. M. Medved

We use the duality between color and kinematics to obtain scattering amplitudes in non-minimal conformal N=0,1,2,4 (super)gravity theories. Generic tree amplitudes can be constructed from a double copy between (super-)Yang-Mills theory and…

High Energy Physics - Theory · Physics 2017-07-11 Henrik Johansson , Josh Nohle

The leitmotif of this paper is the question of whether four- and higher even-dimensional Conformal Gravities do have a Chern-Simons pedigree. We show that Weyl gravity can be obtained as dimensional reduction of a five-dimensional…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Rodrigo Aros , Danilo E. Diaz

Construction of a five dimensional conformal supergravity (D=5 CSG) is attempted by applying the AdS/CFT correspondence to the F(4) AdS supergravity in six dimensions. As a first step, local transformation laws of D=5 CSG have been…

High Energy Physics - Theory · Physics 2009-10-31 Madoka Nishimura

This dissertation represents work on three different subjects relating to quantum gravity and the AdS/CFT correspondence. First, we review a holographic computation of the one-loop corrections to the Weyl anomaly on Ricci flat backgrounds…

High Energy Physics - Theory · Physics 2021-10-01 Brian McPeak

In this paper we study the spectrum of all conformal, ${\cal N}$-extended supergravities (${\cal N}=1,2,3,4$) in four space-time dimensions. When these theories are obtained as massless limit of Einstein plus Weyl$^2$supergravity, the…

High Energy Physics - Theory · Physics 2018-09-26 Sergio Ferrara , Alex Kehagias , Dieter Lust

We consider AdS/CFT correspondence for time-dependent \II B backgrounds in this paper. The supergravity solutions we construct are supersymmetric pp-waves on AdS and may have null singularity in the bulk. The dual gauge theory is also…

High Energy Physics - Theory · Physics 2010-02-03 Chong-Sun Chu , Pei-Ming Ho

In these lectures we discuss N-extended conformal supergravity and its spectrum in four dimensions. These theories can be considered as the massless limit of Einstein-Weyl supergravity and by taking into account their enhanced gauge…

High Energy Physics - Theory · Physics 2020-01-16 Sergio Ferrara , Alex Kehagias , Dieter Lust

Anomalies of N = (4,4) superconformal field theories coupled to a conformal supergravity background in two dimensions are computed by using the AdS/CFT correspondence. We find that Weyl, axial gauge and super Weyl transformations are…

High Energy Physics - Theory · Physics 2009-10-31 M. Nishimura , Y. Tanii

A relation between gravity on Poisson manifolds proposed in arXiv:1508.05706 and Einstein gravity is investigated. The compatibility of the Poisson and Riemann structures defines a unique connection, the contravariant Levi-Civita…

High Energy Physics - Theory · Physics 2017-05-19 Yukio Kaneko , Hisayoshi Muraki , Satoshi Watamura

Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four dimensional conformal supergravity on the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Eric Gimon , Djordje Minic , Joachim Rahmfeld