Geometric and topological structures related to M-branes II: Twisted String and String^c 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 String^c 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.

13 pages, minor corrections, published version

References in corpus (3)

• Geometry of Spin and Spin^c structures in the M-theory partition function
• String Connections and Chern-Simons Theory
• Generalized Witten Genus and Vanishing Theorems

Cited by in corpus (5)

• Twisted differential String and Fivebrane structures
• A higher stacky perspective on Chern-Simons theory
• Extended higher cup-product Chern-Simons theories
• Twisted topological structures related to M-branes
• Ninebrane structures