Mock modular index of M2-M5 brane systems

Okazaki, Tadashi; Smith, Douglas J.

Abstract

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.

Citation

Okazaki, T., & Smith, D. J. (2017). Mock modular index of M2-M5 brane systems. Physical Review D, 96(2), Article 026017. https://doi.org/10.1103/physrevd.96.026017

• 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
• DOI: https://doi.org/10.1103/physrevd.96.026017
• Public URL: https://durham-repository.worktribe.com/output/1373196