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Mock modular index of M2-M5 brane systems.

Okazaki, Tadashi and Smith, Douglas J. (2017) 'Mock modular index of M2-M5 brane systems.', Physical review D., 96 (2). 026017.


We present Bogomolny-Prasad-Sommerfield (BPS) indices of the supergroup Wess-Zumino-Witten (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 PSLð2j2Þk¼1 WZW model in terms of the second-order multivariable AppellLerch sum. It indicates that wall crossing occurs in the BPS state counting due to the C field on the M5-branes.

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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review D 96, 026017 © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:07 June 2017
Date deposited:31 July 2017
Date of first online publication:21 July 2017
Date first made open access:31 July 2017

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