Holonomies of Intersecting Branes

Abstract

We discuss the geometry of string and M-theory gauge fields in Deligne cohomology. In particular, we show how requiring string structure (or loop space Spin-C structure) on the five-brane leads to topological conditions on the flux in the relative Deligne cohomology of the bulk - brain pair.

8 pages, LaTeX, talk given in the RTN Workshop "The quantum structure of spacetime and the geometric nature of fundamental interactions," (Kolymbari, Greece, September 2004)

References in corpus (2)

• Setting the quantum integrand of M-theory
• Gerbes, M5-Brane Anomalies and E_8 Gauge Theory

Cited by in corpus (3)

• Topological Quantum Field Theory on Non-Abelian Gerbes
• Global Spinors and Orientable Five-Branes
• Non-Geometric Magnetic Flux and Crossed Modules