
arXiv: hep-th/0204199
handle: 2440/3615 , 1885/87051
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
B-field, High Energy Physics - Theory, Mathematics - Differential Geometry, gerbe, D-brane, anomaly, FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Anomalies in quantum field theory, Keywords: B-field, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), D-branes, \(K\)-theory and operator algebras, FOS: Mathematics, Generalizations of fiber spaces and bundles in algebraic topology, Deligne cohomology
B-field, High Energy Physics - Theory, Mathematics - Differential Geometry, gerbe, D-brane, anomaly, FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Anomalies in quantum field theory, Keywords: B-field, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), D-branes, \(K\)-theory and operator algebras, FOS: Mathematics, Generalizations of fiber spaces and bundles in algebraic topology, Deligne cohomology
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