Branes as Stable Holomorphic Line Bundles On the Non-Commutative Torus

Simple item page
dc.creatorGrange, Pascal
dc.date2004-03-11
dc.date.accessioned2026-07-07T10:49:51Z
dc.date.available2026-07-07T10:49:51Z
dc.descriptionIt was recently suggested by A. Kapustin that turning on a $B$-field, and allowing some discrepancy between the left and and right-moving complex structures, must induce an identification of B-branes with holomorphic line bundles on a non-commutative complex torus. We translate the stability condition for the branes into this language and identify the stable topological branes with previously proposed non-commutative instanton equations. This involves certain topological identities whose derivation has become familiar in non-commutative field theory. It is crucial for these identities that the instantons are localized. We therefore explore the case of non-constant field strength, whose non-linearities are dealt with thanks to the rank-one Seiberg--Witten map.
dc.description12 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0403126
dc.identifierhttp://arxiv.org/abs/hep-th/0403126
dc.identifierJHEP0410:002,2004
dc.identifierdoi:10.1088/1126-6708/2004/10/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184359
dc.subjectHigh Energy Physics - Theory
dc.titleBranes as Stable Holomorphic Line Bundles On the Non-Commutative Torus
dc.typetext

Files

Collections

arXiv