Holonomy on D-Branes

Abstract

This paper shows how to construct anomaly free world sheet actions in string theory with $D$-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to $D$-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

Corrections made and some typographical errors removed

References in corpus (3)

• Noncommutative Tachyons and K-Theory
• Geometry of Deligne cohomology
• The Geometry of Bundle Gerbes

Cited by in corpus (8)

• A higher stacky perspective on Chern-Simons theory
• Gerbes, M5-Brane Anomalies and E_8 Gauge Theory
• Higher Symplectic Geometry
• Constructions with bundle gerbes
• Ramond-Ramond fields and twisted differential K-theory
• Differential Characters on Orbifolds and String Connections I
• Noncommutative gerbes and deformation quantization
• Multiplicative Bundle Gerbes with Connection