Journal ArticleDOI
Holography from Conformal Field Theory
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In this paper, it was shown that any CFT with a large-N expansion and a large gap has a local bulk dual, and that the conjecture is true in a broad range of CFT's, to first nontrivial order in 1/N-2.Abstract:
The locality of bulk physics at distances below the AdS length scale 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. In the CFT this implies a large-N expansion and a gap in the spectum of anomalous dimensions. We conjecture that the implication also runs in the other direction, so that any CFT with a large-N expansion and a large gap has a local bulk dual. For an abstract CFT we formulate the consistency conditions, most notably crossing symmetry, and show that the conjecture is true in a broad range of CFT's, to first nontrivial order in 1/N-2: in any CFT with a gap and a large-N expansion, the four-point correlator is generated via the AdS/CFT dictionary from a local bulk interaction. We establish this result by a counting argument on each side, and also investigate various properties of some explicit solutions.read more
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A bound on chaos
TL;DR: In this paper, a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom is given, based on plausible physical assumptions, establishing this conjecture.
Journal ArticleDOI
Solving the 3D Ising Model with the Conformal Bootstrap
Sheer El-Showk,Miguel F. Paulos,David Poland,Slava Rychkov,David Simmons-Duffin,Alessandro Vichi +5 more
TL;DR: In this article, the constraints of crossing symmetry and unitarity in general 3D conformal field theories were studied, and it was shown that the 3D Ising model lies at a corner point on the boundary of the allowed parameter space.
Journal ArticleDOI
A bound on chaos
TL;DR: In this paper, a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom is given. But this bound depends on the assumption that the influence of chaos on the commutator can develop no faster than exponentially with Lyapunov exponent.
Journal ArticleDOI
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
TL;DR: Conformal field theories have been long known to describe the universal physics of scale invariant critical points as discussed by the authors, and they describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same time sit at the heart of our modern understanding of quantum field theory.
Journal ArticleDOI
Effective Holographic Theories for low-temperature condensed matter systems
TL;DR: In this article, the authors analyzed the IR dynamics of effective holographic theories capturing the interplay between charge density and the leading relevant scalar operator at strong coupling, and showed that when the scalar operators is not the dilaton, the DC resistivity scales as the heat capacity (and entropy) for planar 3D systems.
References
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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.
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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.
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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.
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Anti de sitter space and holography
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
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AdS dual of the critical O(N) vector model
TL;DR: In this article, a general relation between theories of infinite number of higher-spin massless gauge fields in AdS d + 1 and large N conformal theories in d dimensions containing N -component vector fields was proposed.