Partition Functions for Membrane Theories
Amihay Hanany, Noppadol Mekareeya, Alberto Zaffaroni
TL;DR
This paper computes partition functions for M2-brane theories in different backgrounds, focusing on orbifold singularities with specific supersymmetries, using the Plethystic Programme to analyze their structure and symmetries.
Contribution
It provides explicit calculations of partition functions for membrane theories at orbifold singularities with N=5 or N=6 supersymmetry, advancing understanding of their structure and symmetries.
Findings
Partition functions explicitly computed for various membrane configurations.
Transformation rules under R-symmetry derived.
Detailed structure of partition functions analyzed.
Abstract
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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