Topological sectors for heterotic M5-brane charges under Hypothesis H

Abstract

Assuming Fiorenza-Sati-Schreiber's Hypothesis H, on the charge quantization of M-theory's $C$-field, the topological sectors of the resulting $Strin{g}^{c_2}(4)$-valued higher gauge theory on a heterotic M5-brane are classified by homotopy classes of maps from the worldvolume ${\Sigma }_{M5}$ to $BStrin{g}^{c_2}(4)$. 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.

arXiv comment16 pages; accepted version, some additional discussion

References in corpus (6)

• Skyrmions, instantons and holography
• Twisted differential String and Fivebrane structures
• Čech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction
• Principal infinity-bundles -- General theory
• Framed M-branes, corners, and topological invariants
• Higher Structures in M-Theory

Cited by in corpus (1)

• Twisted Cohomotopy implies twisted String structure on M5-branes