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Topological M-strings and supergroup Wess-Zumino-Witten models.

Okazaki, Tadashi and Smith, Douglas J. (2016) 'Topological M-strings and supergroup Wess-Zumino-Witten models.', Physical review D., 94 (6). 065016.


We study the boundary conditions in topologically twisted Chern-Simons matter theories with the Lie 3-algebraic structure. We find that the supersymmetric boundary conditions and the gauge-invariant boundary conditions can be unified as complexified gauge-invariant boundary conditions which lead to supergroup Wess-Zumino-Witten (WZW) models. We propose that the low-energy effective field theories on the two-dimensional intersection of multiple M2-branes on a holomorphic curve inside K3 with two nonparallel M5-branes on the K3 are supergroup WZW models from the topologically twisted Bagger-Lambert-Gustavson model and the Aharony-Bergman-Jafferis-Maldacena model.

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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review D 94, 065016 © (2016) 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:29 August 2016
Date deposited:30 September 2016
Date of first online publication:14 September 2016
Date first made open access:30 September 2016

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