Classifying supergravity solutions

Gauntlett, Jerome P.

doi:10.1002/prop.200510206

Cited by 17 publications

(16 citation statements)

References 68 publications

(124 reference statements)

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“…10) As is well known, if we set all the fluxes to zero, supersymmetric solutions yield some special holonomy manifolds. However, if the fluxes §2.…”

Section: §1 Introductionmentioning

confidence: 97%

Supersymmetric AdS3 Solutions in Heterotic Supergravity

Kunitomo¹,

Ohta²

2009

Progress of Theoretical Physics

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We analyze the AdS 3 ×M 7 -type supersymmetric solutions, including nontrivial fluxes, of Killing spinor equations in heterotic supergravity. We classify these solutions using their Gstructures and intrinsic torsions, for the cases that the number of seven-dimensional Killing spinors N are equal to 1, 2, 3 and 4. We find that the solutions cannot have a nontrivial warp factor and the seven-dimensional manifold M 7 is characterized by G 2 (SU(3))-structures for the N = 1 (2) case and an SU(2)-structure for the N = 3 and 4 cases. They are further classified using their nontrivial intrinsic torsions. It is shown, including the leading-order α -corrections, that if we impose the Bianchi identities, the integrability conditions of the Killing spinor equations imply that all the field equations are satisfied.Subject Index: 111, 121, 122 §1. IntroductionIt is important to investigate the classical solutions of supergravity that preserve some supersymmetries. In particular, solutions including AdS-space are interesting from the viewpoint of the AdS/CFT correspondence. 1) They provide us with a deeper understanding of the dynamics of both gauge theory and gravity.In particular, the AdS 3 /CFT 2 correspondence in heterotic string theory has recently been studied, 2)-5) in which it was conjectured to exist as a CFT dual of a geometry describing a fundamental heterotic string. A mini-black-string solution 6), 7) was considerd in the five-dimensional heterotic supergravity, obtained by T 5 -compactification, with R 2 correction terms. 8) Without R 2 corrections, the solution has a zero horizon area and thus there is no room for the AdS-space to appear. However, once the corrections are included, the horizon is stretched 9) and its nearhorizon geometry becomes the AdS 3 -space. Unfortunately, however, such a miniblack-string solution is yet unknown in the ten-dimensional heterotic supergravity, which is required for more general compactifications. It is interesting, therefore, to study supersymmetric classical solutions in the form of AdS 3 × M 7 , admitting a warp factor in general, taking into account the R 2 corrections.In general, manifolds described by supersymmetric classical solutions with nontrivial fluxes are characterized by G-structure, which are generalizations of those with special holonomy. 10) As is well known, if we set all the fluxes to zero, supersymmetric solutions yield some special holonomy manifolds. However, if the fluxes * )

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“…10) As is well known, if we set all the fluxes to zero, supersymmetric solutions yield some special holonomy manifolds. However, if the fluxes §2.…”

Section: §1 Introductionmentioning

confidence: 97%

Supersymmetric AdS3 Solutions in Heterotic Supergravity

Kunitomo¹,

Ohta²

2009

Progress of Theoretical Physics

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“…The classification of supersymmetric solutions in minimal N = 2 supergravity in D = 4 was first performed by a time-like or null Killing spinor [23]. Recently, solutions in minimal N = 1 supergravity in D = 5 have been classified into two classes by use of G-structures analysis [24,25,26,27,28]. The six-dimensional minimal supergravity has also been discussed [29].…”

Section: Introductionmentioning

confidence: 99%

Stationary spacetime from intersecting M-branes

Maeda

Tanabe

2006

Nuclear Physics B

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“…Given that there are a finite number of such subalgebras H (they were completely catalogued in [23], and references therein), a precise classification of such half-BPS solutions becomes available. (Earlier classifications in terms of Killing spinors, their bilinears, and G-structures may be found in [24,25,26,27].) The special classes of exact solutions discussed in the preceding paragraph all fit into this scheme.…”

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confidence: 87%

Rigidity of SU(2, 2|2)-symmetric solutions in Type IIB

D’Hoker

Guo

2010

J. High Energ. Phys.

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Abstract:We investigate the existence of half-BPS solutions in Type IIB supergravity which are invariant under the superalgebra SU(2, 2|2) realized on either AdS 5 × S 2 × S 1 or AdS 5 × S 3 warped over a Riemann surface Σ with boundary. We prove that, in both cases, the only solution is AdS 5 × S 5 itself. We argue that this result provides evidence for the non-existence of fully back-reacted intersecting D3/D7 branes with either AdS 5 ×S 2 ×S 1 ×Σ or AdS 5 × S 3 × Σ near-horizon limits.

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Classifying supergravity solutions

Abstract: We review the substantial progress that has been made in classifying supersymmetric solutions of supergravity theories using G-structures. We also review the construction of supersymmetric black rings that were discovered using the classification of D = 5 supergravity solutions.

Cited by 17 publications

References 68 publications

Supersymmetric AdS3 Solutions in Heterotic Supergravity

Supersymmetric AdS3 Solutions in Heterotic Supergravity

Stationary spacetime from intersecting M-branes

Rigidity of SU(2, 2|2)-symmetric solutions in Type IIB

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