Gravitational blocks, spindles and GK geometry
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Author(s)
Boido, Andrea
Gauntlett, Jerome P
Martelli, Dario
Sparks, James
Type
Journal Article
Abstract
We derive a gravitational block formula for the supersymmetric action for a
general class of supersymmetric AdS solutions, described by GK geometry. Extremal
points of this action describe supersymmetric AdS3 solutions of type IIB supergravity,
sourced by D3-branes, and supersymmetric AdS2 solutions of D = 11 supergravity,
sourced by M2-branes. In both cases, the branes are also wrapped over a two-dimensional
orbifold known as a spindle, or a two-sphere. We develop various geometric methods
for computing the gravitational block contributions, allowing us to recover previously
known results for various explicit supergravity solutions, and to significantly generalize
these results to other compactifications. For the AdS3 solutions we give a general proof
that our off-shell supersymmetric action agrees with an appropriate off-shell c-function
in the dual field theory, establishing a very general exact result in holography. For
the AdS2 solutions our gravitational block formula allows us to obtain the entropy for
supersymmetric, magnetically charged and accelerating black holes in AdS4.
general class of supersymmetric AdS solutions, described by GK geometry. Extremal
points of this action describe supersymmetric AdS3 solutions of type IIB supergravity,
sourced by D3-branes, and supersymmetric AdS2 solutions of D = 11 supergravity,
sourced by M2-branes. In both cases, the branes are also wrapped over a two-dimensional
orbifold known as a spindle, or a two-sphere. We develop various geometric methods
for computing the gravitational block contributions, allowing us to recover previously
known results for various explicit supergravity solutions, and to significantly generalize
these results to other compactifications. For the AdS3 solutions we give a general proof
that our off-shell supersymmetric action agrees with an appropriate off-shell c-function
in the dual field theory, establishing a very general exact result in holography. For
the AdS2 solutions our gravitational block formula allows us to obtain the entropy for
supersymmetric, magnetically charged and accelerating black holes in AdS4.
Date Issued
2023-10
Date Acceptance
2023-07-13
Citation
Communications in Mathematical Physics, 2023, 403 (2), pp.917-1003
ISSN
0010-3616
Publisher
Springer
Start Page
917
End Page
1003
Journal / Book Title
Communications in Mathematical Physics
Volume
403
Issue
2
Copyright Statement
© The Author(s) 2023 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
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Identifier
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Subjects
Physical Sciences
Physics
Physics, Mathematical
SASAKI-EINSTEIN MANIFOLDS
Science & Technology
Publication Status
Published
Date Publish Online
2023-08-04