Abstract
Assuming Fiorenza-Sati-Schreiber’s Hypothesis H, on the charge quantization of M-theory’s C -field, the topological sectors of the resulting Stringc2 (4)-valued higher gauge theory on a heterotic M5-brane are classified by homotopy classes of maps from the worldvolume ΣM5 to BStringc2 (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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Roberts, D.M. Topological sectors for heterotic M5-brane charges under Hypothesis H. J. High Energ. Phys. 2020, 52 (2020). https://doi.org/10.1007/JHEP06(2020)052
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DOI: https://doi.org/10.1007/JHEP06(2020)052