Half-BPS supergravity solutions and superalgebras

D’Hoker, Eric; Estes, John; Gutperle, Michael; Krym, Darya; Sorba, P.

doi:10.1088/1126-6708/2008/12/047

Cited by 47 publications

(92 citation statements)

References 122 publications

(346 reference statements)

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“…While the five-dimensional superconformal algebra is unique and corresponds to a specific real form of F (4), there exist several superconformal algebras for AdS 2 [10,11]. They are SU(1, 1|4), OSp(8|2, R), and OSp(4 * |4), with maximal bosonic subalgebras respectively realized by AdS 2 × S 5 × S 1 × Σ, AdS 2 × S 7 × L, and AdS 2 × S 2 × S 4 × Σ, where Σ is a Riemann surface and L is a one-dimensional line.…”

Section: Resultsmentioning

confidence: 99%

“…When both T and T τ (11) belong to T , which is the case for only a single pair of matrices, namely T = τ (20) or T = τ (31) , and assuming that p a does not vanish identically, we may combine (3.10) and (3.11) to obtain the following relations,…”

Section: Jhep03(2018)120mentioning

confidence: 99%

“…Eliminating the star using the definition (B.2), then multiplying the (m) and (i) equations by τ (11) , we recover the system of reduced gravitino BPS equations announced in (3.3).…”

Section: B23 the Complete Gravitino Bps Equationmentioning

confidence: 99%

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AdS2 × S6 versus AdS6 × S2 in Type IIB supergravity

Corbino¹,

D’Hoker²,

Uhlemann³

2018

J. High Energ. Phys.

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We obtain the complete local solutions with 16 supersymmetries to Type IIB supergravity on a space-time of the form AdS 2 × S 6 warped over a Riemann surface Σ in terms of two locally holmorphic functions on Σ. We construct the general Ansatz for the bosonic supergravity fields and supersymmetry generators compatible with the SO(2, 1) ⊕ SO(7) isometry algebra of space-time, which extends to the corresponding real form of the exceptional Lie superalgebra F (4). We reduce the BPS equations to this Ansatz, obtain their general local solutions, and show that these local solutions solve the full Type IIB supergravity field equations and Bianchi identities. We contrast the AdS 2 ×S 6 solution with the closely related AdS 6 × S 2 case and present our results for both in parallel. Finally, we present a preliminary analysis of positivity and regularity conditions for AdS 2 × S 6 , but postpone the construction of globally regular solutions to a subsequent paper.

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Section: Resultsmentioning

confidence: 99%

Section: Jhep03(2018)120mentioning

confidence: 99%

See 1 more Smart Citation

AdS2 × S6 versus AdS6 × S2 in Type IIB supergravity

Corbino¹,

D’Hoker²,

Uhlemann³

2018

J. High Energ. Phys.

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Section: 1mentioning

confidence: 84%

“…The symmetries of the supergravity solutions in this paper are governed by the Lie superalgebra D(2, 1; γ) ⊕ D(2, 1; γ). More specifically, it is the real form D(2, 1; γ, 0), whose bosonic subalgebra is SO(2, 1) ⊕ SO(3) ⊕ SO (3), which enters here [31][32][33]. We designate the generators of the bosonic subalgebra by T (a) i with a = 1 corresponding to SO(2, 1) and a = 2, 3 to the remaining two SO(3) subalgebras.…”

Section: 1mentioning

confidence: 99%

M‐theory solutions invariant under D(2,1; γ) ⊕ D(2,1;γ)

Bachas

D’Hoker

Estes

et al. 2014

Fortschritte der Physik

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We simplify and extend the construction of half-BPS solutions to 11-dimensional supergravity, with isometry superalgebra D(2, 1; γ) ⊕ D(2, 1; γ). Their space-time has the form AdS 3 ×S 3 ×S 3 warped over a Riemann surface Σ. It describes near-horizon geometries of M2 branes ending on, or intersecting with, M5 branes along a common string. The general solution to the BPS equations is specified by a reduced set of data (γ, h, G), where γ is the real parameter of the isometry superalgebra, and h and G are functions on Σ whose differential equations and regularity conditions depend only on the sign of γ. The magnitude of γ enters only through the map of h, G onto the supergravity fields, thereby promoting all solutions into families parametrized by |γ|. By analyzing the regularity conditions for the supergravity fields, we prove two general theorems: (i) that the only solution with a 2-dimensional CFT dual is AdS 3 ×S 3 ×S 3 × R 2 , modulo discrete identifications of the flat R 2 , and (ii) that solutions with γ < 0 cannot have more than one asymptotic higherdimensional AdS region. We classify the allowed singularities of h and G near the boundary of Σ, and identify four local solutions: asymptotic AdS 4 /Z 2 or AdS 7 regions; highly-curved M5-branes; and a coordinate singularity called the "cap". By putting these "Lego" pieces together we recover all known global regular solutions with the above symmetry, including the self-dual strings on M5 for γ < 0, and the Janus solution for γ > 0, but now promoted to families parametrized by |γ|. We also construct exactly new regular solutions which are asymptotic to AdS 4 /Z 2 for γ < 0, and conjecture that they are a different superconformal limit of the self-dual string. Finally, we construct exactly γ > 0 solutions with highly curved M5-brane regions, which are the formal continuation of the self-dual string solutions across the decompactification point at γ = 0.

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Simple holographic duals to boundary CFTs

Chiodaroli

D’Hoker

Gutperle

2012

J. High Energ. Phys.

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By relaxing the regularity conditions imposed in arXiv:1107.1722 on half-BPS solutions to six-dimensional Type~4b supergravity, we enlarge the space of solutions to include two new half-BPS configurations, which we refer to as the \kap\ and the \funnel. We give evidence that the \kap\ and \funnel\ can be interpreted as fully back-reacted brane solutions with respectively $AdS_2$ and $AdS_2\times S^2$ world volumes. \kap\ and \funnel\ solutions with a single asymptotic $AdS_3 \times S^3$ region are constructed analytically. We argue that \kap\ solutions provide simple examples of holographic duals to boundary CFTs in two dimensions and present calculations of their holographic boundary entropy to support the BCFT dual picture.Comment: 37 pages, pdflatex, 5 figure

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Half-BPS supergravity solutions and superalgebras

Cited by 47 publications

References 122 publications

AdS2 × S6 versus AdS6 × S2 in Type IIB supergravity

AdS2 × S6 versus AdS6 × S2 in Type IIB supergravity

M‐theory solutions invariant under D(2,1; γ) ⊕ D(2,1;γ)

Simple holographic duals to boundary CFTs

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