TY - JOUR
T1 - Boundary conditions in topological AdS4/CFT3
AU - Genolini, Pietro Benetti
AU - Grinberg, Matan
AU - Richmond, Paul
N1 - Publisher Copyright:
© 2021, The Author(s).
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/2
Y1 - 2021/2
N2 - 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.
AB - 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.
KW - AdS-CFT Correspondence
KW - Extended Supersymmetry
KW - Supersymmetric Gauge Theory
UR - http://www.scopus.com/inward/record.url?scp=85101240261&partnerID=8YFLogxK
U2 - 10.1007/JHEP02(2021)156
DO - 10.1007/JHEP02(2021)156
M3 - Article
AN - SCOPUS:85101240261
SN - 1126-6708
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 2
M1 - 156
ER -