Roberts, D.M.2020-08-142020-08-142020The Journal of High Energy Physics, 2020; 2020(6):52-0-52-161126-67081029-8479http://hdl.handle.net/2440/126996Published: June 5, 2020Assuming 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.en© The Authors. Article funded by SCOAP3. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.M-Theory; Solitons Monopoles and InstantonsJournal article100002246210.1007/JHEP06(2020)0520005402502000012-s2.0-85086014814526889Roberts, D.M. [0000-0002-3478-0522]