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We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an induced metric defined from the flowed field…

High Energy Physics - Theory · Physics 2018-04-17 Sinya Aoki , Shuichi Yokoyama

We consider the non-interacting massive Wess-Zumino model in four-dimensional anti-de Sitter space and show that the conformal dimensions of the corresponding boundary fields satisfy the relations expected from superconformal invariance. In…

High Energy Physics - Theory · Physics 2008-11-26 W. Mueck , K. S. Viswanathan

We study hyperideal polyhedra in the 3-dimensional anti-de Sitter space $AdS^3$, which are defined as the intersection of the projective model of $AdS^3$ with a convex polyhedron in $RP^3$ whose vertices are all outside of $AdS^3$ and whose…

Differential Geometry · Mathematics 2021-07-20 Qiyu Chen , Jean-Marc Schlenker

We show that the anti-de Sitter(AdS) space naturally emerges from the conformal field theory(CFT). The behavior of the leading divergent term in the entanglement entropy implies the underlying AdS geometry. The coefficient of the leading…

High Energy Physics - Theory · Physics 2017-09-22 Seungjoon Hyun , Sang-A Park

Invariance of the AdS_4 x CP^3 superstring under D=3 N=6 superconformal symmetry is discussed in the sector described by the OSp(4|6)/(SO(1,3) x U(3)) supercoset sigma-model action presented in the conformal basis for the osp(4|6)/(so(1,3)…

High Energy Physics - Theory · Physics 2012-10-03 D. V. Uvarov

We analyze the anti-de Sitter (AdS) superparticle and superstring systems described in terms of supermatrix valued coordinates proposed by Roiban and Siegel. This approach gives simple symmetry transformations and equations of motion. We…

High Energy Physics - Theory · Physics 2009-11-07 Machiko Hatsuda , Kiyoshi Kamimura

We extend the superembedding formalism for 4D N=1 superconformal field theory (SCFT) to the case of fields in arbitrary representations of the superconformal group SU(2,2|1). As applications we obtain manifestly superconformally covariant…

High Energy Physics - Theory · Physics 2013-12-16 Walter D. Goldberger , Zuhair U. Khandker , Daliang Li , Witold Skiba

We consider hyperbolic and anti-de Sitter (AdS) structures on $M\times (0,1)$, where $M$ is a $d$-dimensional Gromov-Thurston manifold. If $M$ has cone angles greater than $2\pi$, we show that there exists a "quasifuchsian" (globally…

Differential Geometry · Mathematics 2023-10-19 Daniel Monclair , Jean-Marc Schlenker , Nicolas Tholozan

In this paper, we present a simple and iterative algorithm that computes Anti-de Sitter space scattering amplitudes. We focus on the vector correlators in AdS in four dimensions in momentum space. These new combinatorial relations will…

High Energy Physics - Theory · Physics 2020-01-24 Soner Albayrak , Chandramouli Chowdhury , Savan Kharel

We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. The static de Sitter can be considered as the conformal structure of the…

High Energy Physics - Theory · Physics 2011-07-19 Miao Li , Yi Pang

We consider the minimal off-shell formulation for four-dimensional N=2 supergravity with a cosmological term, in which the second compensator is an improved tensor multiplet. We use it to derive a linearized supergravity action (and its…

High Energy Physics - Theory · Physics 2011-08-18 Daniel Butter , Sergei M. Kuzenko

In AdS_{2p+1} we construct propagators for p-forms whose lagrangians contain terms of the form A / d A. In particular we explore the case of forms satisfying ``self duality in odd dimensions'', and the case of forms with a topological mass…

High Energy Physics - Theory · Physics 2009-10-31 Iosif Bena , Horatiu Nastase , Diana Vaman

We construct a global flat embedding structure of a Taub-NUT-AdS spacetime to yield a (6+5)-dimensional novel global embedding Minkowski spacetime. We also investigate Taub-NUT, Schwarzschild-AdS and Schwarzschild limits of the global…

General Relativity and Quantum Cosmology · Physics 2016-02-19 Soon-Tae Hong

We perform a general analysis of representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless…

High Energy Physics - Theory · Physics 2015-06-25 Sergio Ferrara , Emery Sokatchev

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Theory · Physics 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

Using the $SO ({\cal N})$ superspace formulation for $\cal N$-extended conformal supergravity in three dimensions, we derive all maximally supersymmetric backgrounds in the ${\cal N} =4$ case. The specific feature of this choice is that the…

High Energy Physics - Theory · Physics 2025-07-29 Sergei M. Kuzenko , Emmanouil S. N. Raptakis , Igor B. Samsonov , Gabriele Tartaglino-Mazzucchelli

We describe new non-supersymmetric conformal field theories in three and four dimensions, using the CFT/AdS correspondence. In order to believe in their existence at large N_c and strong 't Hooft coupling, we explicitly check the stability…

High Energy Physics - Theory · Physics 2008-11-26 Jacques Distler , Frederic Zamora

This is a comprehensive review of the worldsheet techniques for the quantization of type IIB superstring theory on the AdS_5 x S^5 background, using the pure spinor formalism. Particular emphasis is devoted to AdS/CFT applications, with…

High Energy Physics - Theory · Physics 2015-05-27 Luca Mazzucato

In three dimensions, there are two types of ${\cal N}=2$ anti-de Sitter (AdS) supersymmetry, which are denoted (1,1) and (2,0). They are characterised by different supercurrents and support different families of higher-spin gauge models…

High Energy Physics - Theory · Physics 2021-06-30 Daniel Hutchings , Jessica Hutomo , Sergei M. Kuzenko

We give a pedagogical introduction to certain aspects of supersymmetric field theories in anti-de Sitter space. Among them are the presence of masslike terms in massless wave equations, irreducible unitary representations and the phenomenon…

High Energy Physics - Theory · Physics 2007-05-23 Bernard de Wit , Ivan Herger