Geometric Aspects of D-branes and T-duality
Katrin Becker, Aaron Bergman
TL;DR
This paper investigates the differential geometric and K-theoretic aspects of T-duality and D-branes, addressing their transformations and couplings in string theory.
Contribution
It introduces a differential K-theoretic framework for T-duality and D-branes, clarifying their geometric and topological properties in string theory.
Findings
K-theoretic description of D-branes and RR-fields
Differential geometric formulation of T-duality
Identification of a puzzle involving A-roof genera transformation
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.
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