1. Large N behavior of mass deformed ABJM theory
- Author
-
Seiji Terashima, Kazuma Shimizu, and Tomoki Nosaka
- Subjects
Physics ,High Energy Physics - Theory ,Phase transition ,Gravity (chemistry) ,Nuclear and High Energy Physics ,Chern-Simons Theories ,010308 nuclear & particles physics ,FOS: Physical sciences ,1/N Expansion ,M-Theory ,01 natural sciences ,Supersymmetric gauge theory ,High Energy Physics - Theory (hep-th) ,Saddle point ,0103 physical sciences ,Limit (mathematics) ,010306 general physics ,Finite mass ,Mathematical physics - 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., 25 pages,3 figures; v2: typos corrected, a comment on solution II added, footnotes added, references added
- Published
- 2016