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Open AccessJournal ArticleDOI

`Double-trace' deformations, boundary conditions and spacetime singularities

TLDR
In this article, a perturbation expansion for string theory based on a non-local worldsheet was proposed, where double-trace deformations of the AdS/CFT duality result in new perturbations.
Abstract: 
Double-trace deformations of the AdS/CFT duality result in a new perturbation expansion for string theory, based on a non-local worldsheet. We discuss some aspects of the deformation in the low energy gravity approximation, where it appears as a change in the boundary condition of fields. We relate unique features of the boundary of AdS to the worldsheet becoming non-local, and conjecture that non-local worldsheet actions may be generic in other classes of backgrounds.

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Citations
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Journal ArticleDOI

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.
Journal ArticleDOI

An AdS_3 Dual for Minimal Model CFTs

TL;DR: In this paper, a duality between the 2d conformal field theories and higher spin theories on the large $N$ 't Hooft limit was proposed. But the duality was not proved for the Singlet sector of large vector models.
Journal ArticleDOI

An Apologia for Firewalls

TL;DR: In this paper, the authors show that embedding the interior Hilbert space of an old black hole into the early radiation is inconsistent, and that the semi-classical interior of an AdS black hole can be embedded into any dual CFT Hilbert space.
Book ChapterDOI

SL(2;Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry

Edward Witten
TL;DR: In this paper, the authors show that in three-dimensional conformal field theories with U(1) symmetry and a chosen coupling to a background gauge field, there is a natural action of the group $SL(2,{\bf Z})$.
Posted Content

Gauge/String Duality, Hot QCD and Heavy Ion Collisions

TL;DR: A fruitful interplay has developed between analyses of strongly-coupled non-abelian plasmas via the gauge/string duality and the phenomenology of heavy ion collisions.
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.
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.
Book

Quantum Fields in Curved Space

N. D. Birrell, +1 more
TL;DR: A comprehensive review of the subject of gravitational effects in quantum field theory can be found in this paper, where special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe.
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.
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