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This is a pedagogical introduction to the AdS/CFT correspondence, based on lectures delivered by the author at the third IDPASC school. Starting with the conceptual basis of the holographic dualities, the subject is developed emphasizing…

High Energy Physics - Theory · Physics 2013-11-04 Alfonso V. Ramallo

We construct and thoroughly study a new integrable example of the AdS/CFT correspondence with Schr\"{o}dinger symmetry. On the gravity side, the supergravity solution depends on two parameters and is obtained by marginally deforming the…

High Energy Physics - Theory · Physics 2022-07-14 George Georgiou , Georgios Itsios , Dimitrios Zoakos

Undecidability, a hallmark of G\"odel incompleteness theorems, has recently emerged in quantum many-body physics through the spectral gap problem. We demonstrate how this logical limitation can be holographically transmitted to a class of…

High Energy Physics - Theory · Physics 2026-02-02 Sameer Ahmad Mir , Francesco Marino , Arshid Shabir , Lawrence M. Krauss , Mir Faizal

This paper, presents the gravity duals of Conformal Field Theories with boundaries. This theory is known as AdS/BCFT correspondence. In this duality, our system has 3D gravity coupling with the Maxwell field dual to 2D BCFT. On the gravity…

High Energy Physics - Theory · Physics 2022-06-22 Fabiano F. Santos

We present significant evidence in favour of the holographic conjecture that ``4D black holes localized on the brane found by solving the classical bulk equations in $AdS_5$ are quantum corrected black holes and not classical ones''. The…

High Energy Physics - Theory · Physics 2009-11-10 Paul R. Anderson , R. Balbinot , A. Fabbri

We calculate the volumes of a large class of Einstein manifolds, namely Sasaki-Einstein manifolds which are the bases of Ricci-flat affine cones described by polynomial embedding relations in C^n. These volumes are important because they…

High Energy Physics - Theory · Physics 2009-11-07 Aaron Bergman , Christopher P. Herzog

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

AdS/CFT is a conjectured equivalence between a field theory without gravity (conformal field theory) and a string theory in a special curved background (anti de-Sitter space), where theories on both sides of the equivalence is…

High Energy Physics - Theory · Physics 2017-05-02 Shibaji Roy

We show that quantum dynamics of any systems with $SU(1,1)$ symmetry give rise to emergent Anti-de Sitter spacetimes in 2+1 dimensions (AdS$_{2+1}$). Using the continuous circuit depth, a quantum evolution is mapped to a trajectory in…

Quantum Gases · Physics 2023-11-15 Chenwei Lv , Qi Zhou

We clarify aspects of the holographic AdS/CFT correspondence that are typical of Lorentzian signature, to lay the foundation for a treatment of time-dependent gravity and conformal field theory phenomena. We provide a derivation of…

High Energy Physics - Theory · Physics 2010-02-03 Yuji Satoh , Jan Troost

We study conical defect geometries in the SL(N) Chern-Simons formulation of higher spin gauge theories in AdS_3. We argue that (for N\geq 4) there are special values of the deficit angle for which these geometries are actually smooth…

High Energy Physics - Theory · Physics 2015-06-03 Alejandra Castro , Rajesh Gopakumar , Michael Gutperle , Joris Raeymaekers

Two and three-point functions of primary fields in four dimensional CFT have a simple space-time dependences factored out from the combinatoric structure which enumerates the fields and gives their couplings. This has led to the formulation…

High Energy Physics - Theory · Physics 2022-02-22 Robert de Mello Koch , Sanjaye Ramgoolam

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $T\bar{T}$ flow to AdS$_3$ with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on…

High Energy Physics - Theory · Physics 2018-07-06 Per Kraus , Junyu Liu , Donald Marolf

Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies…

High Energy Physics - Theory · Physics 2015-01-15 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis

A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2,2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS_5 is provided. These are higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-07 M. Calixto

This thesis consists of two parts. The first part deals with gauge/gravity duality in the context of anti de Sitter (AdS) spacetimes with de Sitter (dS) boundary, which can be used to study issues concerning strongly coupled field theory on…

High Energy Physics - Theory · Physics 2011-05-19 Jimmy A. Hutasoit

We discuss the two- and three-point functions of the SO(5) R-current of the (2,0) tensor multiplet in d=6, using AdS/CFT correspondence as well as a free field realization. The results obtained via AdS/CFT correspondence coincide with the…

High Energy Physics - Theory · Physics 2010-01-05 R. Manvelyan , A. C. Petkou

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT…

High Energy Physics - Theory · Physics 2020-12-30 Lorenz Eberhardt , Shota Komatsu , Sebastian Mizera

A holographic duality is proposed relating quantum gravity on dS_D (D-dimensional de Sitter space) to conformal field theory on a single S^{D-1} ((D-1)-sphere), in which bulk de Sitter correlators with points on the boundary are related to…

High Energy Physics - Theory · Physics 2009-11-07 Andrew Strominger

We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU$(2)$ WZW model in the critical level limit $k\to -2$, which corresponds to the…

High Energy Physics - Theory · Physics 2022-06-08 Yasuaki Hikida , Tatsuma Nishioka , Tadashi Takayanagi , Yusuke Taki
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