Mock Modular Index of M2-M5 Brane System
High Energy Physics - Theory
2017-07-25 v2 Algebraic Geometry
Number Theory
Representation Theory
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.
Cite
@article{arxiv.1612.07565,
title = {Mock Modular Index of M2-M5 Brane System},
author = {Tadashi Okazaki and Douglas J. Smith},
journal= {arXiv preprint arXiv:1612.07565},
year = {2017}
}
Comments
47 pages, 8 figures; v2: references added