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April 2014 Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons theory
Domenico Fiorenza, Hisham Sati, Urs Schreiber
Adv. Theor. Math. Phys. 18(2): 229-321 (April 2014).


The world-volume theory of coincident M5-branes is expected to contain a nonabelian 2-form/nonabelian gerbe gauge theory that is a higher analog of self-dual Yang-Mills theory. But the precise details—in particular the global moduli/instanton/magnetic charge structure—have remained elusive. Here we deduce from anomaly cancellation a natural candidate for the holographic dual of this nonabelian 2-form field, under $\mathrm{AdS}_7 \; / \; \mathrm{CFT}_6$ duality. We find this way a 7-dimensional nonabelian Chern-Simons theory of String 2-connection fields, which, in a certain higher gauge, are given locally by non-abelian 2-forms with values in an affine Kac-Moody Lie algebra. We construct the corresponding action functional on the entire smooth moduli 2-stack of field configurations, thereby defining the theory globally, at all levels and with the full instanton structure, which is nontrivial due to the twists imposed by the quantum corrections. Along the way we explain some general phenomena of higher nonabelian gauge theory that we need.


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Domenico Fiorenza. Hisham Sati. Urs Schreiber. "Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons theory." Adv. Theor. Math. Phys. 18 (2) 229 - 321, April 2014.


Published: April 2014
First available in Project Euclid: 27 October 2014

zbMATH: 1322.81066
MathSciNet: MR3273315

Rights: Copyright © 2014 International Press of Boston

Vol.18 • No. 2 • April 2014
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