More on superstrings in<i>AdS</i><sub>3</sub>× Script N

Giveon, Amit; Pakman, Ari

doi:10.1088/1126-6708/2003/03/056

Cited by 37 publications

(63 citation statements)

References 30 publications

(78 reference statements)

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“…Then we introduce the spectral flow quantum number: w + = w +w. Finally we factorize the supersymmetric J 3J 3 lattice associated to the total currents at level k, that will eventually be removed by 2 Or modular covariant factor for superstrings. 3 We have removed the contribution of the neutral fermions associated to left and right U (1) currents J 3 andJ 3 since they play no role in the following derivation.…”

Section: Partition Function For Supersymmetric Sl(2 R)mentioning

confidence: 99%

The partition function of the supersymmetric two-dimensional black hole and little string theory

Israël¹,

Kounnas²,

Pakman³

et al. 2004

J. High Energy Phys.

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164

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Abstract:We compute the partition function of the supersymmetric two-dimensional Euclidean black hole geometry described by the SL(2, R)/U (1) superconformal field theory. We decompose the result in terms of characters of the N = 2 superconformal symmetry. We point out puzzling sectors of states besides finding expected discrete and continuous contributions to the partition function. By adding an N = 2 minimal model factor of the correct central charge and projecting on integral N = 2 charges we compute the partition function of the background dual to little string theory in a double scaling limit. We show the precise correspondence between this theory and the background for NS5-branes on a circle, due to an exact description of the background as a null gauging of SL(2, R) × SU (2). Finally, we discuss the interplay between GSO projection and target space geometry.

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Section: Partition Function For Supersymmetric Sl(2 R)mentioning

confidence: 99%

The partition function of the supersymmetric two-dimensional black hole and little string theory

Israël¹,

Kounnas²,

Pakman³

et al. 2004

J. High Energy Phys.

Self Cite

164

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“…. the vector representations of SO (8) and SO(4 + n), respectively. The generators {t M } of g split into the compact generators {X…”

Section: The Three-dimensional Theory With Ym Multipletmentioning

confidence: 99%

“…One of the best studied examples of the celebrated AdS/CFT duality conjecture [1,2] is the D1-D5 system, which relates IIB string theory on AdS 3 ×S 3 ×M 4 to a two-dimensional N = (4, 4) supersymmetric conformal field theory (CFT) living on the boundary of AdS 3 [3][4][5][6][7][8]. The latter is believed to be described by a non-linear σ-model whose target space is a deformation of the symmetric orbifold (M 4 ) n /S n [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Kaluza-Klein supergravity on AdS₃×S³

Nicolai

Samtleben

2003

J. High Energy Phys.

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We construct a Chern-Simons type gauged N = 8 supergravity in three spacetime dimensions with gauge group SO(4) × T ∞ over the infinite dimensional coset space SO(8, ∞)/ (SO(8) × SO(∞)), where T ∞ is an infinite dimensional translation subgroup of SO(8, ∞). This theory describes the effective interactions of the (infinitely many) supermultiplets contained in the two spin-1 Kaluza-Klein towers arising in the compactification of N = (2, 0) supergravity in six dimensions on AdS 3 × S 3 with the massless supergravity multiplet. After the elimination of the gauge fields associated with T ∞ , one is left with a Yang Mills type gauged supergravity with gauge group SO(4), and in the vacuum the symmetry is broken to the (super-)isometry group of AdS 3 × S 3 , with infinitely many fields acquiring masses by a variant of the Brout-Englert-Higgs effect.

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“…This BA may be viewed as giving some of the first concrete prediction for what the elusive CFT 2 dual to the equal radius 5 For the purpose of the present paper the AdS 3 × S 3 × K3 background can be treated as an orbifold of AdS 3 × S 3 × T 4 and shares many of it's features. 6 Early work on this backgorund and its dual description can be found in [18,[31][32][33][34][35][36]. 7 GS actions for strings in curved spacetimes were first constructed in [38,39].…”

Section: Introductionmentioning

confidence: 99%

Integrability, spin-chains and the AdS3/CFT2 correspondence

Sax

Stefański

2011

J. High Energ. Phys.

146

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Building on arXiv:0912.1723 [1], in this paper we investigate the AdS 3 /CFT 2 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 relies on a novel, α-dependent generalisation 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 spinchain can be regarded as giving some of the first hints about the unknown CFT 2 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 AdS 3 /CFT 2 correspondence.

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More on superstrings inAdS₃× Script N

Cited by 37 publications

References 30 publications

The partition function of the supersymmetric two-dimensional black hole and little string theory

The partition function of the supersymmetric two-dimensional black hole and little string theory

Kaluza-Klein supergravity on AdS₃×S³

Integrability, spin-chains and the AdS3/CFT2 correspondence

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More on superstrings inAdS3× Script N

Cited by 37 publications

References 30 publications

The partition function of the supersymmetric two-dimensional black hole and little string theory

The partition function of the supersymmetric two-dimensional black hole and little string theory

Kaluza-Klein supergravity on AdS3×S3

Integrability, spin-chains and the AdS3/CFT2 correspondence

Contact Info

Product

Resources

About

More on superstrings inAdS₃× Script N

Kaluza-Klein supergravity on AdS₃×S³