Partition Functions for Membrane Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages

Scientific paper

10.1088/1126-6708/2008/09/090

Partition functions for M2-brane theories in various backgrounds are computed. We consider in particular configurations of membranes at orbifold singularities preserving N=5 or N=6 supersymmetry. The worldvolume membrane theory for some of these configurations has been recently constructed in terms of N=6 Chern-Simons theories. The detailed structure of the partition functions as well as their transformation rules under the R-symmetry are explicitly computed using the Plethystic Programme.

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