Title: The large N | limit of M2-branes on Lens spaces
Author: Alday, F.
Other Involved Persons: Fluder, Martin
Other Involved Persons: Sparks, James
Source: Journal of High Energy Physics, Vol. 2012, No. 10 (2012), p. 1-23
ISSN: 1029-8479
Summary: We study the matrix model for N M2-branes wrapping a Lens space$ L\left( {p,1} \right)={S^3}/{{\mathbb{Z}}_p} $. This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over flat connections and a potential that depends non-trivially on p. We study the matrix model both numerically and analytically in the large N limit, finding that a certain family of p flat connections give an equal dominant contribution. At large N we find the same eigenvalue distribution for all p, and show that the free energy is simply 1/p times the free energy on a three-sphere, in agreement with gravity dual expectations.
URL: http://dx.doi.org/10.1007/JHEP10(2012)057