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arXiv · 2003.09832

Topological sectors for heterotic M5-brane charges under Hypothesis H

David Michael Roberts
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Abstract

Assuming Fiorenza-Sati-Schreiber's Hypothesis H, on the charge quantization of M-theory's $C$-field, the topological sectors of the resulting $String^{c_2}(4)$-valued higher gauge theory on a heterotic M5-brane are classified by homotopy classes of maps from the worldvolume $\Sigma_{M5}$ to $BString^{c_2}(4)$. This note calculates the sectors in a number of examples of M5-brane topology, including examples considered in the 3d-3d correspondence, the emergence of skyrmions from higher-dimensional instantons and Witten's analysis of the S-duality of 4d Yang-Mills theory.

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David Michael Roberts. 2020-03-22. Topological sectors for heterotic M5-brane charges under Hypothesis H. https://doi.org/10.1007/jhep06(2020)052

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