The large N limit of M2-branes on Lens spaces

Journal article

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 at 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. © SISSA 2012.

Authors: Alday, L; Fluder, M; Sparks, J

• Publication status: Published
• Journal: JOURNAL OF HIGH ENERGY PHYSICS
• Volume: 2012
• Issue: 10
• Publication date: 2012-10-01
• DOI: 10.1007/JHEP10(2012)057
• EISSN: 1029-8479
• ISSN: 1029-8479
• Language: English
• Keywords: Gauge-gravity correspondence; 1/N Expansion; Chern-Simons Theories; Supersymmetric gauge theory