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Mock modular index of M2-M5 brane systems

Okazaki, Tadashi; Smith, Douglas J.

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Tadashi Okazaki


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.


Okazaki, T., & Smith, D. J. (2017). Mock modular index of M2-M5 brane systems. Physical Review D, 96(2), Article 026017.

Journal Article Type Article
Acceptance Date Jun 7, 2017
Online Publication Date Jul 21, 2017
Publication Date Jul 21, 2017
Deposit Date Jul 24, 2017
Publicly Available Date Jul 31, 2017
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 2
Article Number 026017


Published Journal Article (685 Kb)

Copyright 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.

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