Half-BPS supergravity solutions and superalgebras

Abstract

We establish a correspondence between certain Lie superalgebras with 16 fermionic generators, and half-BPS solutions to supergravities with 32 supersymmetries. Three cases are discussed. For Type IIB supergravity, we relate semi-simple Lie superalgebras H with 16 fermionic generators which are subalgebras of PSU(2,2|4), to families of half-BPS solutions which are invariant under H, and locally asymptotic to AdS_5 x S^5. Similarly, for M-theory, we relate semi-simple Lie superalgebras H with 16 fermionic generators which are subalgebras of OSp(8^*|4) or OSp(8|4,R) to families of half-BPS solutions which are invariant under H, and locally asymptotic to AdS_7 x S^4 or AdS_4 x S^7 respectively. Possible enhancements to more than 16 supersymmetries, such as 24, are also analyzed. The classification of semi-simple subalgebras of PSU(2,2|4), OSp(8^*|4), and OSp(8|4,R) derived in this paper, leads us to conjecture the existence of various new families of half-BPS solutions to Type IIB supergravity and M-theory.

85 pages, 1 figure, 19 tables. In v2, references added; various corrections and extensive revisions and clarifications made in section 5 and appendix B

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Cited by in corpus (37)

• Holographic duals for five-dimensional superconformal quantum field theories
• Supersymmetric Janus Solutions in Four Dimensions
• Janus solutions in M-theory
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• Janus solutions in six-dimensional gauged supergravity
• Holographic duals of Boundary CFTs
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• Exact half-BPS string-junction solutions in six-dimensional supergravity
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Simple holographic duals to boundary CFTs
• Large superconformal near-horizons from M-theory
• On Half-BPS States of the ABJM Theory
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• A note on the quartic effective action of type IIB superstring
• Open Worldsheets for Holographic Interfaces
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• $Ad{S}_2\times S^6$ versus $Ad{S}_6\times S^2$ in Type IIB supergravity
• Defect CFT techniques in the 6d $\mathcal{N}=(2,0)$ theory
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Warped $Ad{S}_2$ and $SU(1,1|4)$ symmetry in Type IIB
• Global half-BPS $Ad{S}_2\times S^6$ solutions in Type IIB
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• Flux Quantization on M5-branes
• Exact M-Theory Solutions, Integrable Systems, and Superalgebras
• Flavor from M5-branes
• Rigidity of SU(2,2|2)-symmetric solutions in Type IIB
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
• About the Non Relativistic Structure of the AdS/CFT Superalgebras
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs