Geometric and topological structures related to M-branes II: Twisted String and Stringc structures
Abstract
The actions, anomalies, and quantization conditions allow the M2-brane and the M5-brane to support, in a natural way, structures beyond Spin on their worldvolumes. The main examples are twisted String structures. This also extends to twisted Stringc structures, which we introduce and relate to twisted String structures. The relation of the C-field to Chern-Simons theory suggests the use of the String cobordism category to describe the M2-brane.
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