Brane intersections, anti-de Sitter space-times and dual superconformal theories

Boonstra, Harm Jan; Peeters, Bas; Skenderis, Kostas

doi:10.1016/s0550-3213(98)00512-4

Cited by 172 publications

(288 citation statements)

References 74 publications

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“…In this paper we will be interested in its realization in Type IIB where it is supported by D5 and D1-brane fluxes [59]. This description arises after compactifying on a circle the AdS 3 × S 3 × S 3 × R near horizon geometry of a D1-D5-D5' system where the two stacks of D5-branes are orthogonal and intersect only along the line of the D1-branes [57,60,61]. How to implement the S 1 compactification has remained unclear (see [59]), and it has only been argued recently [62] that the R instead of the S 1 9 In 11D one can identify the two projection conditions to verify that supersymmetry is not enhanced.…”

Section: Jhep08(2015)121mentioning

confidence: 99%

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New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

Lozano

Macpherson

Montero

et al. 2015

J. High Energ. Phys.

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It is well known that Hopf-fibre T-duality and uplift takes the D1-D5 nearhorizon into a class of AdS 3 × S 2 geometries in 11D where the internal space is a CalabiYau three-fold. Moreover, supersymmetry dictates that Calabi-Yau is the only permissible SU(3)-structure manifold. Generalising this duality chain to non-Abelian isometries, a strong parallel exists, resulting in the first explicit example of a class of AdS 3 ×S 2 geometries with SU(2)-structure. Furthermore, the non-Abelian T-dual of AdS 3 ×S 3 ×S 3 ×S 1 results in a new supersymmetric AdS 3 × S 2 geometry, which falls outside of all known classifications. We explore the basic properties of the holographic duals associated to the new backgrounds. We compute the central charges and show that they are compatible with a large N = 4 superconformal algebra in the infra-red.

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Section: Jhep08(2015)121mentioning

confidence: 99%

“…Starting from AdS 3 × S 3 × S 3 × S 1 (3.1), it is known that Abelian T-duality on a given Hopf-fibre will produce a 1 4 -BPS AdS 3 × S 3 × S 2 × T 2 geometry, where the corresponding supergroup is D(2|1, γ) × SL(2, R) × SU(2) [60,61]. Here γ is a real parameter equating…”

Section: Jhep08(2015)121mentioning

confidence: 99%

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

Lozano

Macpherson

Montero

et al. 2015

J. High Energ. Phys.

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“…There is a metric of the classical solution in the M5 (1) -M5 (2) -M2 system [21] with ♯M5 (1) = ♯M5 (2) …”

Section: The Brane Configurationmentioning

confidence: 99%

AdS₃/CFT₂ correspondence and space-time N = 3 superconformal algebra

Yamaguchi

Ishimoto

Sugiyama

1999

J. High Energy Phys.

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We study a Wess-Zumino-Witten model with target space AdS 3 ×(S 3 ×S 3 ×S 1 )/Z 2 . This allows us to construct space-time N = 3 superconformal theories. By combining left-, and right-moving parts through a GSO and a Z 2 projections, a new asymmetric (N , N ) = (3, 1) model is obtained. It has an extra gauge (affine) SU (2) symmetry in the target space of the type IIA string. An associated configuration is realized as slantwise intersecting M5-M2 branes with a Z 2 -fixed plane in the M-theory viewpoint. †

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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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Brane intersections, anti-de Sitter space-times and dual superconformal theories

Cited by 172 publications

References 74 publications

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

AdS₃/CFT₂ correspondence and space-time N = 3 superconformal algebra

Integrability, spin-chains and the AdS3/CFT2 correspondence

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Brane intersections, anti-de Sitter space-times and dual superconformal theories

Cited by 172 publications

References 74 publications

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

AdS3/CFT2 correspondence and space-time N = 3 superconformal algebra

Integrability, spin-chains and the AdS3/CFT2 correspondence

Contact Info

Product

Resources

About

AdS₃/CFT₂ correspondence and space-time N = 3 superconformal algebra