Mock Modular Index of M2-M5 Brane System
In: Physical review D, 2017, Vol.96(2), pp.026017 [Peer Reviewed Journal]; (2016)
Online
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Zugriff:
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 $PSL(2|2)_{k=1}$ 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 $C$-field on the M5-branes.
Comment: 47 pages, 8 figures; v2: references added
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Mock Modular Index of M2-M5 Brane System
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| Autor/in / Beteiligte Person: | Okazaki, Tadashi ; Smith, Douglas J. |
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| Quelle: | Physical review D, 2017, Vol.96(2), pp.026017 [Peer Reviewed Journal]; (2016) |
| Veröffentlichung: | arXiv, 2016 |
| Medientyp: | unknown |
| DOI: | 10.48550/arxiv.1612.07565 |
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