The large N limit of M2-branes on Lens spaces
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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2012
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| Summary: | 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. |
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