Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint

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dc.creatorLiu, Chien-Hao
dc.creatorYau, Shing-Tung
dc.date2007-09-11
dc.date.accessioned2026-07-07T08:28:42Z
dc.date.available2026-07-07T08:28:42Z
dc.descriptionWe explain how Polchinski's work on D-branes re-read from a noncommutative version of Grothendieck's equivalence of local geometries and function rings gives rise to an intrinsic prototype definition of D-branes (of B-type) as an Azumaya-type noncommutative space. Several originally open-string induced properties of D-branes can be reproduced solely by this intrinsic definition. We study also the moduli space of D0-branes on a commutative target space in this setup. Some of its features resembles gas of D0-branes in Vafa's work.
dc.description57 pages
dc.identifierhttps://arxiv.org/abs/0709.1515
dc.identifierhttp://arxiv.org/abs/0709.1515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137711
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectSymplectic Geometry
dc.subject14A22, 81T30
dc.titleAzumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
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