Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2012)057
Keywords
Supersymmetric gauge theory; Gauge-gravity correspondence; Chern-Simons Theories; 1/N Expansion
Categories
Funding
- Royal Society
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We study the matrix model for N M2-branes wrapping a Lens space L(p,1) = S-3/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.
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