Coisotropic branes, noncommutativity, and the mirror correspondence

Marco Aldi*, Eric Zaslow

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We study coisotropic A-branes in the sigma model on a four-torus by explicitly constructing examples. We find that morphisms between coisotropic branes can be equated with a fundamental representation of the noncommutatively deformed algebra of functions on the intersection. The noncommutativity parameter is expressed in terms of the bundles on the branes. We conjecture these findings hold in general. To check mirror symmetry, we verify that the dimensions of morphism spaces are equal to the corresponding dimensions of morphisms between mirror objects.

Original languageEnglish (US)
Pages (from-to)383-395
Number of pages13
JournalJournal of High Energy Physics
Issue number6
DOIs
StatePublished - Jun 1 2005

Keywords

  • D-branes
  • Non-Commutative Geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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