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arXiv · 1204.1280

The large N limit of M2-branes on Lens spaces

Luis F. Alday·Martin Fluder·James Sparks
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Abstract

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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Luis F. Alday, Martin Fluder, James Sparks. 2012-04-05. The large N limit of M2-branes on Lens spaces. https://doi.org/10.1007/jhep10(2012)057

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