Supersymmetric vacua of mass-deformed M2-brane theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, 1 figure, v2: figure improved, added references, relation to LLM geometry explained.

Scientific paper

10.1016/j.nuclphysb.2010.06.002

We count the supersymmetric vacua of mass-deformed N=6 U(N)xU(N) Chern-Simons-matter theory by calculating the Witten index. When the Chern-Simons level k is 1, our result perfectly agrees with that from the gravity dual, given by partitions of N. For general k, our index generalizes partitions of N, including additional degrees. We also comment on non-relativistic superconformal theories constructed from this model.

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