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 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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- June 2020
- DOI:
- 10.1007/JHEP06(2020)052
- arXiv:
- arXiv:2003.09832
- Bibcode:
- 2020JHEP...06..052R
- Keywords:
-
- M-Theory;
- Solitons Monopoles and Instantons;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Algebraic Topology
- E-Print:
- 16 pages