Boundary conditions and dualities: vector fields in AdS/CFT
TLDR
In this article, the authors extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184].Abstract:
In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary conditions correspond to deformations of the dual field theory by multi-trace operators. Here we extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184]. As in the context of scalar fields, general boundary conditions for vector fields involve multi-trace deformations which lead to renormalization-group flows. Such flows originate in ultra-violet CFTs which give new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulk photon appears to be a propagating gauge field instead of the usual R-charge current. Applying similar reasoning to tensor fields suggests the existence of a duality between string theory on AdS4 and a quantum gravity theory in three dimensions.read more
Citations
More filters
Journal ArticleDOI
Lectures on holographic methods for condensed matter physics
TL;DR: In this article, a discussion of holographic techniques progresses from equilibrium, to transport and to superconductivity, and the discussion of supergravity, Strings and Gauge theories are discussed.
Journal ArticleDOI
Holographic Superconductors
TL;DR: In this paper, it has been shown that a gravitational dual to a superconductor can be obtained by coupling anti-de Sitter gravity to a Maxwell field and a charged scalar.
Book
Holographic Quantum Matter
TL;DR: In this paper, a review of theories of states of quantum matter without quasiparticle excitations is provided through a holographic duality with gravitational theories in an emergent spatial dimension.
Journal ArticleDOI
Integrating out geometry : holographic Wilsonian RG and the membrane paradigm.
TL;DR: In this article, the authors formulate a holographic Wilsonian renormalization group flow for strongly coupled systems with a gravity dual, motivated by the need to extract efficiently low energy behavior of such systems.
Journal ArticleDOI
Two-dimensional SCFTs from wrapped branes and c-extremization
Francesco Benini,Nikolay Bobev +1 more
TL;DR: In this article, the authors apply c-extremization to two-dimensional superconformal field theories arising from the low-energy dynamics of D3-branes wrapped on Riemann surfaces and M5-brane wrapped on four-manifolds.
References
More filters
Journal ArticleDOI
The Large N limit of superconformal field theories and supergravity
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
Journal ArticleDOI
Anti De Sitter Space And Holography
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Journal ArticleDOI
Gauge Theory Correlators from Non-Critical String Theory
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
Journal ArticleDOI
Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
Journal ArticleDOI
(2+1)-Dimensional Gravity as an Exactly Soluble System
TL;DR: By disentangling the hamiltonian constraint equations, 2 + 1 dimensional gravity (with or without a cosmological constant) is shown to be exactly soluble at the classical and quantum levels.