Holonomy on D-Branes
  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. 
Alan L. Carey (1), Stuart Johnson (2), and Michael K. Murray (2) ((1)   Australian National University, (2) The University o...