AdS6 solutions of type II supergravity

Apruzzi, Fabio; Fazzi, Marco; Passias, Achilleas; Rosa, Dario; Tomasiello, Alessandro

doi:10.1007/jhep11(2014)099

Cited by 94 publications

(116 citation statements)

References 43 publications

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“…As a result, they could be applied to other, less symmetric backgrounds, associated not just to less-symmetric cosets [77,78], but perhaps also to other AdS backgrounds such as [79][80][81][82][83]. While these latter backgrounds are not expected to be integrable, it would be interesting to establish what happens to the symmetry algebra of the gauge-fixed action when the level-matching condition is relaxed.…”

Section: Discussionmentioning

confidence: 99%

The AdS₃× S³× S³× S¹worldsheetSmatrix

Borsato¹,

Sax²,

Sfondrini³

et al. 2015

J. Phys. A: Math. Theor.

120

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This is the accepted version of the paper.This version of the publication may differ from the final published version. 1 with mixed Ramond-Ramond (R-R) and Neveu-Schwarz-Neveu-Schwarz (NS-NS) flux. By suitably gauge-fixing the closed string Green-Schwarz (GS) action of this theory, we derive the off-shell symmetry algebra and its representations. We use these to determine the nonperturbative worldsheet S-matrix of fundamental excitations in the theory. The analysis involves both massive and massless modes in complete generality. The S-matrix we find involves a number of phase factors, which in turn satisfy crossing equations that we also determine. We comment on the nature of the heaviest modes of the theory, but leave their identification either as composites or bound-states to a future investigation. Permanent repository link

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Section: Discussionmentioning

confidence: 99%

The AdS₃× S³× S³× S¹worldsheetSmatrix

Borsato¹,

Sax²,

Sfondrini³

et al. 2015

J. Phys. A: Math. Theor.

120

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“…6 See also [25][26][27][28] for further AdS solutions and [29][30][31][32][33][34][35][36] for a more varied sample of the NAT duality literature. 7 Supersymmetry imposes severe constraints to the existence of AdS6 solutions in ten and eleven dimensions [38,39]. Prior to [37] the only known explicit solution to Type II supergravities was the Brandhuber and Oz background [41], which was shown to be the only possible such solution in (massive) IIA in [38].…”

Section: Jhep08(2015)121mentioning

confidence: 99%

“…Prior to [37] the only known explicit solution to Type II supergravities was the Brandhuber and Oz background [41], which was shown to be the only possible such solution in (massive) IIA in [38]. Later [39] proved the non-existence of AdS6 solutions in M-theory and derived the PDEs that such solutions must satisfy in Type IIB (see also [40]), to which the example in [37], constructed from the Brandhuber and Oz solution via non-Abelian T-duality, provides the only known explicit solution (besides the Abelian T-dual).…”

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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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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“…The integrability conditions are then succinctly expressed as B (±) χ ± = 0, χ ± = σ ± , τ ± , where 19) with c 2 = 1 when χ ± = σ ± and with c 2 = −1 when χ ± = τ ± . The remaining KSEs on M 7 can now be expressed as 20) where…”

Section: Jhep07(2015)152mentioning

confidence: 99%

Geometry and supersymmetry of heterotic warped flux AdS backgrounds

Beck

Gutowski

Papadopoulos

2015

J. High Energ. Phys.

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Abstract:We classify the geometries of the most general warped, flux AdS backgrounds of heterotic supergravity up to two loop order in sigma model perturbation theory. We show under some mild assumptions that there are no AdS n backgrounds with n = 3. Moreover the warp factor of AdS 3 backgrounds is constant, the geometry is a product AdS 3 × M 7 and such solutions preserve, 2, 4, 6 and 8 supersymmetries. The geometry of M 7 has been specified in all cases. For 2 supersymmetries, it has been found that M 7 admits a suitably restricted G 2 structure. For 4 supersymmetries, M 7 has an SU(3) structure and can be described locally as a circle fibration over a 6-dimensional KT manifold. For 6 and 8 supersymmetries, M 7 has an SU(2) structure and can be described locally as a S 3 fibration over a 4-dimensional manifold which either has an anti-self dual Weyl tensor or a hyper-Kähler structure, respectively. We also demonstrate a new Lichnerowicz type theorem in the presence of α ′ corrections.

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AdS6 solutions of type II supergravity

Cited by 94 publications

References 43 publications

The AdS₃× S³× S³× S¹worldsheetSmatrix

The AdS₃× S³× S³× S¹worldsheetSmatrix

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

Geometry and supersymmetry of heterotic warped flux AdS backgrounds

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AdS6 solutions of type II supergravity

Cited by 94 publications

References 43 publications

The AdS3× S3× S3× S1worldsheetSmatrix

The AdS3× S3× S3× S1worldsheetSmatrix

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

Geometry and supersymmetry of heterotic warped flux AdS backgrounds

Contact Info

Product

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About

The AdS₃× S³× S³× S¹worldsheetSmatrix

The AdS₃× S³× S³× S¹worldsheetSmatrix