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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 develop the representation of interacting bulk gauge fields and charged scalar matter in AdS in terms of non-local observables in the dual CFT. We work in holographic gauge in the bulk, A_z = 0. The correct statement of micro-causality…

High Energy Physics - Theory · Physics 2013-04-17 Daniel Kabat , Gilad Lifschytz

In the perturbative AdS-CFT correspondence, the dual field whose source are the prescribed boundary values of a bulk field in the functional integral, and the boundary limit of the quantized bulk field are the same thing. This statement is…

High Energy Physics - Theory · Physics 2008-11-26 M. Duetsch , K. -H. Rehren

Area-dependent quantum field theory is a modification of two-dimensional topological quantum field theory, where one equips each connected component of a bordism with a positive real number - interpreted as area - which behaves additively…

Quantum Algebra · Mathematics 2018-07-24 Ingo Runkel , Lóránt Szegedy

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

Tensor networks give simple representations of complex quantum states. They have proven useful in the study of condensed matter systems and conformal fields, and recently have provided toy models of AdS/CFT. Underlying the tensor network -…

High Energy Physics - Theory · Physics 2017-09-29 Alex May

In this paper, we propose a generalization of the $\mathrm{AdS_2/CFT_1}$ correspondence constructed by Mezei, Pufu and Wang in \cite{MezeiPufuWang}, which is the duality between 2d Yang-Mills theory with higher derivatives in the…

High Energy Physics - Theory · Physics 2020-12-02 Andrey Feldman

We study the Swampland Distance Conjecture for supersymmetric theories with AdS${}_5$ backgrounds and fixed radius through their $\mathcal{N}=2$ SCFT holographic duals. By the Maldacena-Zhiboedov theorem, around a large class of…

High Energy Physics - Theory · Physics 2021-09-16 Florent Baume , José Calderón Infante

Conformal quantum field theory is reviewed in the perspective of Axiomatic, notably Algebraic QFT. This theory is particularly developped in two spacetime dimensions, where many rigorous constructions are possible, as well as some complete…

High Energy Physics - Theory · Physics 2025-01-22 Karl-Henning Rehren

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

One of the few cases of AdS/CFT where both sides of the duality are under good control relates tensionless $k=1$ strings on AdS$_3$ to a two-dimensional symmetric product CFT. Building on prior observations, we propose an exact duality…

High Energy Physics - Theory · Physics 2025-01-14 Andrea Dei , Bob Knighton , Kiarash Naderi , Savdeep Sethi

The dS/CFT correspondence differs from its AdS/CFT counterpart in some ways, yet is strikingly similar to it in many others. For example, both involve CFTs defined on connected spaces (despite the fact that the conformal boundary of…

High Energy Physics - Theory · Physics 2010-12-23 Brett McInnes

We calculate the vacuum fluctuations that may affect the evolution of cosmological domain walls. Considering domain walls, which are classically stable and have interaction with a scalar field, we show that explicit symmetry violation in…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-05 Tomohiro Matsuda

We study the strong coupling limit of AdS/CFT correspondence in the framework of a recently proposed fermionic formulation of the Bethe Ansatz equations governing the gauge theory anomalous dimensions. We provide examples of states that do…

High Energy Physics - Theory · Physics 2008-11-26 Matteo Beccaria , Carmine Ortix

Recently, a codimension two holography called wedge holography is proposed as a generalization of AdS/CFT. It is conjectured that a gravitational theory in $d+1$ dimensional wedge spacetime is dual to a $d-1$ dimensional CFT on the corner…

High Energy Physics - Theory · Physics 2021-02-24 Rong-Xin Miao

The swampland program of delineating the space of effective field theories consistent with quantum gravity appears similar to the bootstrap program of delineating the space of quantum field theories consistent with conformal symmetry. With…

High Energy Physics - Theory · Physics 2019-03-27 Joseph P. Conlon , Fernando Quevedo

We investigate domain walls between topologically ordered phases in two spatial dimensions and present a simple but general framework from which their degrees of freedom can be understood. The approach we present exploits the results on…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 F. A. Bais , J. K. Slingerland , S. M. Haaker

The surface/state correspondence suggests that the bulk co-dimensional two surface could be dual to the quantum state in the holographic conformal field theory(CFT). Inspired by the cutoff-AdS/$T\overline{T}$-deformed-CFT correspondence, we…

High Energy Physics - Theory · Physics 2020-05-20 Bin Chen , Lin Chen , Cheng-Yong Zhang

Coordinated inference problems are being introduced as a basis for a neural network representation of the locality problem in the holographic bulk. It is argued that a type of problem originating in the "prisoners and hats" dilemma involves…

General Physics · Physics 2023-09-13 Andrei T. Patrascu

The study of critical quantum many-body systems through conformal field theory (CFT) is one of the pillars of modern quantum physics. Certain CFTs are also understood to be dual to higher-dimensional theories of gravity via the anti-de…

Quantum Physics · Physics 2022-02-08 Alexander Jahn , Zoltán Zimborás , Jens Eisert