Topic
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 authors considered semi-classical type IIA strings rotating in the AdS4 part of AdS 4 × 3 and found that the energy shift was E−S = f(λ)ln S with fλ = (2λ) 1/2−(5ln 2/2π)+(1/λ)1/2).
Abstract: I consider semi-classical type IIA strings rotating in the AdS4 part of AdS4 × 3. The one loop sigma model corrections to this classical solution are used to compute the energy shift, and the result is found to be E−S = f(λ)ln S with f(λ) = (2λ)1/2−(5ln 2/2π)+(1/λ)1/2). Even though the functional forms match, the actual numerical value of this one loop string result differs from the result obtained on the integrable = 6 Chern-Simons (ABJM) theory side.
141 citations
TL;DR: In this paper, an integrable Bethe Ansatz (BA) for strings on AdS3/CFT2 correspondence using integrability techniques is presented, with symmetry d(2, 1; α)2, valid for all values of α.
Abstract: Building on arXiv:0912.1723 [1], in this paper we investigate the AdS3/CFT2 correspondence using integrability techniques. We present an all-loop Bethe Ansatz (BA) for strings on AdS
3 × S
3 × S
3 × S
1, with symmetry d(2, 1; α)2, valid for all values of α. This construction requires an α-dependent scaling of the Zhukovsky map. We investigate the weakly-coupled limit of this BA and of the all-loop BA for strings on AdS
3 × S
3 × T
4. We construct integrable short-range spin-chains and Hamiltonians that correspond to these weakly-coupled BAs. The spin-chains are alternating and homogenous, respectively. The alternating spin-chain can be regarded as giving some of the first hints about the unknown CFT2 dual to string theory on AdS
3 × S
3 × S
3 × S
1. We show that, in the α → 1 limit, the integrable structure of the d(2, 1; α)2 model is non-singular and keeps track of not just massive but also massless modes. This provides a way of incorporating massless modes into the integrability machinery of the AdS3/CFT2 correspondence.
141 citations
TL;DR: In this paper, a supersymmetric AdS3 solution in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d is constructed.
Abstract: We construct supersymmetric AdS3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d $$ \mathcal{N}=\left(0,4\right) $$
superconformal field theories with small superconformal algebra. In F-theory these arise from D3-branes wrapped on curves in the base of an elliptically fibered Calabi-Yau threefold Y
3 and correspond to self-dual strings in the 6d $$ \mathcal{N}=\left(1,0\right) $$
theory obtained from F-theory on Y
3. The non-trivial fibration over the wrapped curves implies a varying coupling of the $$ \mathcal{N}=4 $$
Super-Yang-Mills theory on the D3-branes. We compute the holographic central charges and show that these agree with the field theory and with the anomalies of self-dual strings in 6d. We complement our analysis with a discussion of the dual M-theory solutions and a comparison of the central charges.
141 citations
TL;DR: The non-relativistic conformal "Schrodinger" symmetry of some gravity backgrounds proposed recently in the AdS/CFT context, is explained in the "Bargmann framework" as mentioned in this paper.
141 citations
TL;DR: In this article, the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence were analyzed using a Virasoro algebra with central charge c_R=12J that acts on the degenerate ground state.
Abstract: We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy's formula to determine the near extremal entropy. Our result is consistent with the Bekenstein-Hawking area law for near extremal Kerr black holes.
141 citations