Boundary Conditions in Topological AdS$_4$/CFT$_3$
High Energy Physics - Theory
2022-02-03 v1
Abstract
We revisit the construction in four-dimensional gauged supergravity of the holographic duals to topologically twisted three-dimensional 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.
Keywords
Cite
@article{arxiv.2010.15828,
title = {Boundary Conditions in Topological AdS$_4$/CFT$_3$},
author = {Pietro Benetti Genolini and Matan Grinberg and Paul Richmond},
journal= {arXiv preprint arXiv:2010.15828},
year = {2022}
}
Comments
37 pages