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Large-$N$, $\epsilon$-expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to fractional dimensions. It was shown recently…

高能物理 - 理论 · 物理学 2017-08-29 E. D. Skvortsov , Tung Tran

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

高能物理 - 理论 · 物理学 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter

The local form of higher-spin equations found recently to the second order [1] is shown to properly reproduce the anticipated $AdS/CFT$ correlators for appropriate boundary conditions. It is argued that consistent $AdS/CFT$ holography for…

高能物理 - 理论 · 物理学 2017-12-06 V. E. Didenko , M. A. Vasiliev

We derive constraints on the operator product expansion of two stress tensors in conformal field theories (CFTs), both generic and holographic. We point out that in large $N$ CFTs with a large gap to single-trace higher spin operators, the…

高能物理 - 理论 · 物理学 2018-08-15 David Meltzer , Eric Perlmutter

In this thesis, we present two aspects of higher-spin gauge field theories: dualities and interactions. We first consider dualities of the free theories at the level of the action. Then, external "electric" and "magnetic" sources are…

高能物理 - 理论 · 物理学 2007-05-23 S. Cnockaert

We consider the question of loop corrections (i.e. 1/N) in the vector model/higher spin duality following the recent work of Giombi and Klebanov. The purpose of this paper is to gain further more precise comparison between the two sides of…

高能物理 - 理论 · 物理学 2015-06-18 Antal Jevicki , Kewang Jin , Junggi Yoon

I take steps toward the construction of a CFT dual to Vasiliev's higher spin gravity in three dimensional de Sitter space. There are two main claims. The first is that higher spin de Sitter symmetries are related to extended Virasoro…

高能物理 - 理论 · 物理学 2011-11-02 Peter Ouyang

We study Vasiliev's system of higher spin gauge fields coupled to massive scalars in AdS_3, and compute the tree level two and three point functions. These are compared to the large N limit of the W_N minimal model, and nontrivial…

高能物理 - 理论 · 物理学 2015-05-28 Chi-Ming Chang , Xi Yin

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…

高能物理 - 理论 · 物理学 2017-05-02 Shibaji Roy

I review recent work on the holographic relation between higher-spin theories in Anti-de Sitter spaces and conformal field theories. I present the main results of studies concerning the higher-spin holographic dual of the three-dimensional…

高能物理 - 理论 · 物理学 2007-05-23 A. C. Petkou

We propose that the euclidean bilocal collective field theory of critical large-N vector models provides a complete definition of the proposed dual theory of higher spin fields in anti de-Sitter spaces. We show how this bilocal field can be…

高能物理 - 理论 · 物理学 2009-11-10 Sumit R. Das , Antal Jevicki

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

A duality between the large N 't Hooft limit of the WD_N minimal model CFTs and a higher spin gravity theory on AdS3 is proposed. The gravity theory has massless spin fields of all even spins s=2,4,6,..., as well as two real scalar fields…

高能物理 - 理论 · 物理学 2015-05-28 Matthias R Gaberdiel , Carl Vollenweider

We pursue the construction of higher-spin theory in AdS_4 from CFT_3 of the O(N) vector model in terms of canonical collective fields. In null plane quantization an exact map is established between the two spaces. The coordinates of the…

高能物理 - 理论 · 物理学 2011-01-28 Robert de Mello Koch , Antal Jevicki , Kewang Jin , João P. Rodrigues

We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by…

Can the holographic principle be extended beyond the well known AdS/CFT correspondence? During the last couple of years there has been a substantial amount of research trying to find answers for this question. In this work we provide a…

高能物理 - 理论 · 物理学 2018-01-30 Stefan Prohazka , Max Riegler

We construct a double field theory coupled to the fields present in Vasiliev's equations. Employing the "semi-covariant" differential geometry, we spell a functional in which each term is completely covariant with respect to…

高能物理 - 理论 · 物理学 2016-07-14 Xavier Bekaert , Jeong-Hyuck Park

Simplest examples of AdS/CFT duality correspond to free CFTs in d dimensions with fields in vector or adjoint representation of an internal symmetry group dual in the large N limit to a theory of massless or massless plus massive higher…

高能物理 - 理论 · 物理学 2017-07-11 M. Beccaria , A. A. Tseytlin

In the context of the AdS/CFT correspondence, an explicit relation between the physical degrees of freedom of 2+1d gravity and the stress tensor of 1+1d conformal field theory is exhibited. Gravity encodes thermodynamic state variables of…

高能物理 - 理论 · 物理学 2007-05-23 Emil J. Martinec

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…

高能物理 - 理论 · 物理学 2015-01-15 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis