Matching gauge theory and string theory in a decoupling limit of AdS/CFT
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In this article, it was shown that the decoupling limit of the string sigma-model classically corresponds to a non-relativistic limit, in which all the bosonic modes and all fermionic modes decouple.Abstract:
We identify a regime of the AdS/CFT correspondence in which we can quantitatively match N=4 super Yang-Mills (SYM) for small 't Hooft coupling with weakly coupled type IIB string theory on AdS_5 x S^5. We approach this regime by taking the same decoupling limit on both sides of the correspondence. On the gauge theory side only the states in the SU(2) sector survive, and in the planar limit the Hamiltonian is given by the XXX_{1/2} Heisenberg spin chain. On the string theory side we show that the decoupling limit corresponds to a non-relativistic limit. In this limit some of the bosonic modes and all of the fermionic modes of the string become infinitely heavy and decouple. We first take the decoupling limit of the string sigma-model classically. This enables us to identify a semi-classical regime with semi-classical string states even though we are in a regime corresponding to small 't Hooft coupling. We furthermore analyze the quantum corrections that enter in taking the limit.
From this we infer that gauge theory and string theory match, both in terms of the action and the spectrum, for the leading part and the first correction away from the semi-classical regime. Finally we consider the implications for the hitherto unexplained matching of the one-loop contribution to the energy of certain gauge theory and string theory states, and we explain how our results give a firm basis for the matching of the Hagedorn temperature in hep-th/0608115.read more
Citations
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The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
TL;DR: In this article, the string dual of the recently constructed N=6 superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory) was examined in particular on the SU(2)×SU(2)-sector.
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Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS(4) x CP**3
Davide Astolfi,Valentina Giangreco M. Puletti,Gianluca Grignani,Troels Harmark,Marta Orselli +4 more
TL;DR: In this article, the authors considered finite-size corrections in the SU (2 ) × SU ( 2 ) sector of type IIA string theory on AdS 4 × C P 3, which is the string dual of the recently constructed N = 6 superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory).
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Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
TL;DR: In this article, a precise match between weak and strong coupling in the Frolov-Tseytlin classical limit for a very general class of classical solutions was found, which clarified the issue of back-reaction and identified precisely which three-point functions are captured by a classical computation.
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Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence
TL;DR: In this paper, a Polyakov-type action for strings moving in a torsional Newton-Cartan geometry is obtained by starting with the relativistic Polyakov action and fixing the momentum of the string along a non-compact null isometry.
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Worldsheet Form Factors in AdS/CFT
Thomas Klose,Tristan McLoughlin +1 more
TL;DR: In this article, it was shown that the near-plane-wave expressions for the form factors, when further expanded in small momentum or large charge density, reproduce the thermodynamic limit of the spin-chain results at leading order.
References
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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.
Posted Content
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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Strings in flat space and pp waves from Script N = 4 Super Yang Mills
TL;DR: In this paper, the string spectrum in flat space and pp-waves arises from the large-N limit, at fixed g2YM, of U(N) = 4 super Yang Mills.
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