Topics on D-brane charges with B-fields

Abstract

In this review we show how K-theory classifies RR-charges in type II string theory and how the inclusion of the B-field modifies the general structure leading to the twisted K-groups. Our main purpose is to give an expository account of the physical relevance of K-theory and, in order to make it, we consider different points of view: processes of tachyon condensation, cancellation of global anomalies and gauge fixings. As a field to test the proposals of K-theory, we concentrate on the study of the D6-brane, now seen as a non-abelian monopole.

63 pages, no figures. To appear in the special issue of Int. J. Geom. Meth. Mod. Phys., v.1, N4 (August 2004)

References in corpus (6)

• Some Relations between Twisted K-theory and E8 Gauge Theory
• K-Theory from a physical perspective
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• D-Branes, Tachyons and K-Homology
• Global Worldsheet Anomalies from M-Theory
• A note on the dyonic D6-brane

Cited by in corpus (5)

• Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Gauge enhancement of super M-branes via parametrized stable homotopy theory
• The Cascade is a MMS Instanton
• Gravitational monopoles, anomalies and M$E_8$ bundles