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AdS/CFT correspondence

About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.


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TL;DR: In this article, the elliptic genus of the boundary theory in the supergravity approximation is computed and a finite quantity is obtained once a particular exclusion principle is introduced, where the super gravity approximation is reliable.
Abstract: According to one of Maldacena's dualities, type IIB string theory on AdS{sub 3} x S{sup 3} x K3 is equivalent to a certain N = (4, 4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3{sup N}/S{sub N}.

106 citations

Journal ArticleDOI
TL;DR: In this article, the μ, T phase diagram of the holographic theory is analyzed in the limit of large number of colors, Nc, and massless fermion flavors, Nf, but constant ratio xf = Nf/Nc is analyzed at finite temperature and chemical potential.
Abstract: A holographic model of QCD in the limit of large number of colors, Nc, and massless fermion flavors, Nf , but constant ratio xf = Nf /Nc is analyzed at finite temperature and chemical potential. The five dimensional gravity model contains three bulk fields: a scalar dilaton sourcing TrF2, a scalar tachyon dual to $ \overline{q}q $ and a 4-vector dual to the baryon current $ \overline{q} $ γμ q. The main result is the μ, T phase diagram of the holographic theory. A first order deconfining transition along Th(μ) and a chiral transition at Tχ(μ) > Th(μ) are found. The chiral transition is of second order for small μ and becomes of first order at larger μ. The two regimes are separated by a tricritical point. The dependence of thermodynamical quantities including the speed of sound and susceptibilities on the chemical potential and temperature is computed. A new quantum critical regime is found at zero temperature and finite chemical potential. It is controlled by an AdS2 × R3 geometry and displays semi-local criticality.

106 citations

Journal ArticleDOI
TL;DR: In this paper, the gravity side is used to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform.
Abstract: Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform. We evaluate the relevant integrals for 3- and 4-point functions and show that the results are consistent with the requirements of Schrodinger invariance, the implications of which we also work out for general n-point functions.

106 citations

Journal ArticleDOI
TL;DR: In this paper, an analytic approach to Boundary Conformal Field Theory (BCFT) is developed, focussing on the two-point function of a general pair of scalar primary operators.
Abstract: We develop an analytic approach to Boundary Conformal Field Theory (BCFT), focussing on the two-point function of a general pair of scalar primary operators. The resulting crossing equation can be thought of as a vector equation in an infinite-dimensional space $$ \mathcal{V} $$ of analytic functions of a single complex variable. We argue that in a unitary theory, functions in $$ \mathcal{V} $$ satisfy a boundedness condition in the Regge limit. We identify a useful basis for $$ \mathcal{V} $$ , consisting of bulk and boundary conformal blocks with scaling dimensions which appear in OPEs of the mean field theory correlator. Our main achievement is an explicit expression for the action of the dual basis (the basis of linear functionals on $$ \mathcal{V} $$ ) on an arbitrary conformal block. The practical merit of our basis is that it trivializes the study of perturbations around mean field theory. Our results are equivalent to a BCFT version of the Polyakov bootstrap. Our derivation of the expressions for the functionals relies on the identification of the Polyakov blocks with (suitably improved) boundary and bulk Witten exchange diagrams in AdSd+1. We also provide another conceptual perspective on the Polyakov block expansion and the associated functionals, by deriving a new Lorentzian OPE inversion formula for BCFT.

106 citations

Journal ArticleDOI
TL;DR: In this paper, the holographic complexity of the Einstein-Maxwell-Dilaton gravity model was studied using the duality of complexity = volume and complexity = action duality.
Abstract: We study the holographic complexity of Einstein-Maxwell-Dilaton gravity using the recently proposed “complexity = volume” and “complexity = action” dualities. The model we consider has a ground state that is represented in the bulk via a so-called hyperscaling violating geometry. We calculate the action growth of the Wheeler-DeWitt patch of the corresponding black hole solution at non-zero temperature and find that, depending on the parameters of the theory, there is a parametric enhancement of the action growth rate relative to the conformal field theory result. We match this behavior to simple tensor network models which can capture aspects of hyperscaling violation. We also exhibit the switchback effect in complexity growth using shockwave geometries and comment on a subtlety of our action calculations when the metric is discontinuous at a null surface.

106 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2021234
2020348
2019387
2018368
2017393
2016413