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The large N limit of M2-branes on Lens spaces | | Luis F. Alday
; Martin Fluder
; James Sparks
; | | Date: |
5 Apr 2012 | | 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. | | Source: | arXiv, 1204.1280 | | Services: | Forum | Review | PDF | Favorites | |
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