GEOMETRIC AND TOPOLOGICAL STRUCTURES RELATED TO M-BRANES II: TWISTED STRING AND STRING(C) STRUCTURES

摘要

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 world-volumes. 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.