Carey, A.Johnson, S.Murray, M.2006-06-192006-06-192004Journal of Geometry and Physics, 2004; 52(2):186-2160393-04401879-1662http://hdl.handle.net/2440/3615This 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.enD-branesB-fieldDeligne cohomologyJournal article002004129910.1016/j.geomphys.2004.02.0080002241444000062-s2.0-444436282856396Murray, M. [0000-0003-3713-9623]