Geometric K-homology of flat D-branes

R. M G Reis, Richard J. Szabo

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We use the Baum-Douglas construction of K-homology to explicitly describe various aspects of D-branes in Type II superstring theory in the absence of background supergravity form fields. We rigorously derive various stability criteria for states of D-branes and show how standard bound state constructions are naturally realized directly in terms of topological K-cycles. We formulate the mechanism of flux stabilization in terms of the K-homology of non-trivial fibre bundles. Along the way we derive a number of new mathematical results in topological K-homology of independent interest.

Original languageEnglish
Pages (from-to)71-122
Number of pages52
JournalCommunications in Mathematical Physics
Volume266
Issue number1
DOIs
Publication statusPublished - Aug 2006

Fingerprint Dive into the research topics of 'Geometric K-homology of flat D-branes'. Together they form a unique fingerprint.

  • Cite this