English

Large N behavior of mass deformed ABJM theory

High Energy Physics - Theory 2016-08-26 v2

Abstract

In this paper, using the localization technique we analyze the large N limit of the mass deformed Aharony-Bergman-Jafferis-Maldacena (ABJM) theory on the three sphere with a finite mass parameter and finite Chern-Simons levels. We find two different solutions of the saddle point equations in the large N limit. With these solutions we compute the free energy and find that there is a first order phase transition. Our results may predict a phase transition in the dual gravity theory.

Keywords

Cite

@article{arxiv.1512.00249,
  title  = {Large N behavior of mass deformed ABJM theory},
  author = {Tomoki Nosaka and Kazuma Shimizu and Seiji Terashima},
  journal= {arXiv preprint arXiv:1512.00249},
  year   = {2016}
}

Comments

25 pages,3 figures; v2: typos corrected, a comment on solution II added, footnotes added, references added