Solving Mass-deformed Holography Perturbatively
Abstract
We study supergravity BPS equations which correspond to mass-deformation of some representative AdS/CFT examples. The field theory of interest are N=4, D=4 super Yang-Mills, the ABJM model in D=3, and the Brandhuber-Oz fixed point in D=5. For these gauge theories the free energy with mass terms for matter multiplets is calculable in large-N limit using supersymmetric localization technique. We suggest a perturbative method to solve the supergravity equations. For the dual of mass-deformed ABJM model we reproduce the known exact solutions. For the mass-deformed Brandhuber-Oz theory our method gives the holographic free energy in analytic form. For N=2* theory our result is in good agreement with the localization result.
Keywords
Cite
@article{arxiv.1902.00418,
title = {Solving Mass-deformed Holography Perturbatively},
author = {Nakwoo Kim},
journal= {arXiv preprint arXiv:1902.00418},
year = {2020}
}
Comments
20 pages, 2 figures; v2: references added, typos corrected; v3: to appear in JHEP