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Boundary conditions in topological AdS 4 /CFT 3

Published version
Peer-reviewed

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Authors

Genolini, Pietro Benetti  ORCID logo  https://orcid.org/0000-0002-2479-375X
Grinberg, Matan 
Richmond, Paul 

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.

Description

Keywords

Regular Article - Theoretical Physics, AdS-CFT Correspondence, Extended Supersymmetry, Supersymmetric Gauge Theory

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479

Volume Title

2021

Publisher

Springer Berlin Heidelberg