Mock Modular Index of M2-M5 Brane System
arXiv:1612.07565 · doi:10.1103/PhysRevD.96.026017
Abstract
We present BPS indices of the supergroup WZW models that live on intersecting M2-M5 brane systems. They can encode data of the stretched M2-branes between M5-branes and count the BPS states. They are generally expressed in terms of mock theta functions via the Kac-Wakimoto character formula of the affine Lie superalgebra. We give an explicit expression of the index for the WZW model in terms of the second order multi-variable Appell-Lerch sum. It indicates that wall-crossing occurs in the BPS state counting due to the -field on the M5-branes.
47 pages, 8 figures; v2: references added
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