Boundary conditions in topological AdS 4 /CFT 3
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Peer-reviewed
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Abstract
Abstract: We revisit the construction in four-dimensional gauged Spin(4) supergravity of the holographic duals to topologically twisted three-dimensional N = 4 field theories. Our focus in this paper is to highlight some subtleties related to preserving supersymmetry in AdS/CFT, namely the inclusion of finite counterterms and the necessity of a Legendre transformation to find the dual to the field theory generating functional. Studying the geometry of these supergravity solutions, we conclude that the gravitational free energy is indeed independent from the metric of the boundary, and it vanishes for any smooth solution.
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Keywords
Regular Article - Theoretical Physics, AdS-CFT Correspondence, Extended Supersymmetry, Supersymmetric Gauge Theory
Journal Title
Journal of High Energy Physics
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Journal ISSN
1029-8479
Volume Title
2021
Publisher
Springer Berlin Heidelberg