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We review some recent work on AdS/CFT duality involving the 3d O(N) Vector Model and AdS4 Higher Spin Gravity. Our construction is based on bi-local collective field theory which provides an off-shell formulation of Higher Spin Gravity with…

High Energy Physics - Theory · Physics 2015-06-12 Antal Jevicki , Kewang Jin , Qibin Ye

We consider the holographic duality where the CFT side is given by $SU(N)$ adjoint free scalar field theory. Compared to the vector models, the set of single trace operators is immensely extended so that the corresponding AdS theory also…

High Energy Physics - Theory · Physics 2016-05-04 Jin-Beom Bae , Euihun Joung , Shailesh Lal

We propose a new version of the $AdS/CFT$ correspondence, where polymer structures similar to Loop Quantum Cosmology spin networks can be induced on an isotropic and homogeneous flat Randall-Sundrum II brane, corresponding to the…

General Relativity and Quantum Cosmology · Physics 2020-08-18 Carlos Silva

We build a novel time-like coset sigma-model describing type-II superstring theory in a charged rotating black-brane background that interpolates between a locally $AdS_3$ in the IR and a linear-dilaton geometry in the UV. This allows one…

High Energy Physics - Theory · Physics 2022-09-13 Soumangsu Chakraborty , Mikhail Goykhman

In this paper we review aspects of anti de Sitter/conformal field theory (AdS/CFT) duality and the notion of holographic renormalization group (RG) flow. We start by discussing supersymmetry and construct the N = 4 super Yang-Mills theory…

High Energy Physics - Theory · Physics 2024-12-10 Han Huang

We develop the idea of an effective conformal theory describing the low-lying spectrum of the dilatation operator in a CFT. Such an effective theory is useful when the spectrum contains a hierarchy in the dimension of operators, and a small…

High Energy Physics - Theory · Physics 2011-10-11 A. Liam Fitzpatrick , Emanuel Katz , David Poland , David Simmons-Duffin

Inspired by the AdS/CFT correspondence, we develop an explicit formal duality between the planar limit of a d-dimensional gauge theory and a classical field theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the…

High Energy Physics - Theory · Physics 2012-02-22 Djordje Radicevic

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

We construct and analyse infinite classes of regular supergravity backgrounds dual to four-dimensional superconformal field theories (SCFTs) compactified on a circle with a supersymmetry-preserving twist. These flows lead to…

High Energy Physics - Theory · Physics 2025-07-24 Dimitrios Chatzis , Madison Hammond , Georgios Itsios , Carlos Nunez , Dimitrios Zoakos

We develop a consistent partially off-shell framework for evaluating higher-derivative actions of five-dimensional $\cal{N}=1$ gauged supergravity with abelian vector multiplets on AdS$_5$. Using the superconformal formalism, we show that…

High Energy Physics - Theory · Physics 2025-12-01 Kiril Hristov , Saurish Khandelwal , Yi Pang , Gabriele Tartaglino-Mazzucchelli

We propose $AdS_2$/CFT$_1$ dualities between exactly solvable topological quantum mechanics theories with vector or matrix large $N$ limits (on the boundary) and weakly coupled gauge theories on a fixed $AdS_2$ background (in the bulk). The…

High Energy Physics - Theory · Physics 2017-03-28 Márk Mezei , Silviu S. Pufu , Yifan Wang

Holographic duality provides a microscopic interpretation of asymptotically Anti-de Sitter supergravity solutions. The dual states of the field theory give rise to expectation values of light operators. These expectation values correspond…

High Energy Physics - Theory · Physics 2025-07-04 David Turton , Alexander Tyukov

We derive and test a novel holographic duality in the B-model topological string theory. The duality relates the B-model on certain Calabi-Yau three-folds to two-dimensional chiral algebras defined as gauged $\beta\gamma\,$ systems. The…

High Energy Physics - Theory · Physics 2021-01-11 Kevin Costello , Davide Gaiotto

We propose a class of ${\rm AdS}_3/{\rm CFT}_2$ dualities with $\mathcal{N}=(2,2)$ supersymmetry. These dualities relate string theory on ${\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G}$ to marginal deformations of the symmetric…

High Energy Physics - Theory · Physics 2019-07-23 Shouvik Datta , Lorenz Eberhardt , Matthias R. Gaberdiel

Cohomological methods are applied for the special set of solutions corresponding to rotating branes in arbitrary dimensions, AdS black holes (which can be embedded in ten or eleven dimensions), and gauge supergravities. A new class of…

Mathematical Physics · Physics 2011-05-12 A. A. Bytsenko , E. Elizalde

AdS$_2$ plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS$_2$ in the UV, and terminate in the IR with a cap that is singular in two…

High Energy Physics - Theory · Physics 2019-02-05 Iosif Bena , Pierre Heidmann , David Turton

In anti-de Sitter (AdS) space, classical supergravity solutions are represented "holographically" by conformal field theory (CFT) states in which operators have expectation values. These 1-point functions are directly related to the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Simon F. Ross

Type II string theory compactified on a Calabi-Yau manifold, with a singularity modeled by a hypersurface in an orbifold, is considered. In the limit of vanishing string coupling, one expects a non gravitational theory concentrated at the…

High Energy Physics - Theory · Physics 2010-02-03 Oskar Pelc

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