Mock modular index of M2-M5 brane systems

Tadashi Okazaki; Douglas J. Smith

doi:10.1103/PhysRevD.96.026017

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Mock modular index of M2-M5 brane systems

Okazaki, Tadashi; Smith, Douglas J.

Physical Review D , Volume 96 (2) – Jul 15, 2017

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Mock modular index of M2-M5 brane systems

Okazaki, Tadashi; Smith, Douglas J.

Physical Review D , Volume 96 (2) – Jul 15, 2017

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 PSL(2|2)k=1 WZW model in terms of the second-order multivariable Appell-Lerch 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: American Physical Society (APS)
ISSN: 1550-7998
eISSN: 1550-2368
DOI: 10.1103/PhysRevD.96.026017
Publisher site: See Article on Publisher Site

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Mock modular index of M2-M5 brane systems

Mock modular index of M2-M5 brane systems

Mock modular index of M2-M5 brane systems

Abstract

References (85)

Abstract

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