Mass Deformed ABJM Theory on Three Sphere in Large N limit
High Energy Physics - Theory
2017-04-26 v2
Abstract
In this paper the free energy of the mass deformed ABJM theory on S^3 in the large N limit is studied. We find a new solution of the large N saddle point equation which exists for an arbitrary value of the mass parameter, and compute the free energies for these solutions. We also show that the solution corresponding to an asymptotically AdS_4 geometry is singular at a certain value of the mass parameter and does not exist over this critical value. It is not clear what the gravity dual of the mass deformed ABJM theory on S^3 for the mass parameter larger than the critical value is.
Keywords
Cite
@article{arxiv.1608.02654,
title = {Mass Deformed ABJM Theory on Three Sphere in Large N limit},
author = {Tomoki Nosaka and Kazuma Shimizu and Seiji Terashima},
journal= {arXiv preprint arXiv:1608.02654},
year = {2017}
}
Comments
34 pages, 1 figure; v2 :references added, minor changes, published version