Geometric Aspects of D-branes and T-duality

Abstract

We explore the differential geometry of T-duality and D-branes. Because D-branes and RR-fields are properly described via K-theory, we discuss the (differential) K-theoretic generalization of T-duality and its application to the coupling of D-branes to RR-fields. This leads to a puzzle involving the transformation of the A-roof genera in the coupling.

26 pages, JHEP format, uses dcpic.sty; v2: references added, v3: minor changes

References in corpus (4)

• An index theorem in differential K-theory
• Supersymmetry breaking, heterotic strings and fluxes
• Type II Actions from 11-Dimensional Chern-Simons Theories
• Differential Twisted K-theory and Applications

Cited by in corpus (2)

• Differential K-theory. A survey
• O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength