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

Okazaki, Tadashi; Smith, Douglas J.

Abstract

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.

Citation

Okazaki, T., & Smith, D. J. (2016). Topological M-strings and supergroup Wess-Zumino-Witten models. Physical Review D, 94(6), Article 065016. https://doi.org/10.1103/physrevd.94.065016

• Journal Article Type: Article
• Acceptance Date: Aug 29, 2016
• Online Publication Date: Sep 14, 2016
• Publication Date: Sep 14, 2016
• Deposit Date: Sep 21, 2016
• Publicly Available Date: Sep 30, 2016
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 94
• Issue: 6
• Article Number: 065016
• DOI: https://doi.org/10.1103/physrevd.94.065016
• Public URL: https://durham-repository.worktribe.com/output/1397217