Projective resolutions of coherent sheaves and descent relations between branes

dc.creatorTomasiello, A.
dc.date1999-08-02
dc.date2000-11-10
dc.date.accessioned2026-07-07T04:26:48Z
dc.date.available2026-07-07T04:26:48Z
dc.descriptionWe notice that, for branes wrapped on complex analytic subvarieties, the algebraic-geometric version of K-theory makes the identification between brane-antibrane pairs and lower-dimensional branes automatic. This is because coherent sheaves on the ambient variety represent gauge bundles on subvarieties, and they can be put in exact sequences (projective resolutions) with sheaves corresponding to vector bundles on the pair; this automatically gives a D(p-2) as a formal difference of bundles on the Dp - D\bar p pair, both belonging to the Grothendieck group of coherent sheaves of the ambient.
dc.description1+8 pages, no figures; v2: enhanced language
dc.identifierhttps://arxiv.org/abs/hep-th/9908009
dc.identifierhttp://arxiv.org/abs/hep-th/9908009
dc.identifierAdv.Theor.Math.Phys. 4 (2002) 617-626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56187
dc.subjectHigh Energy Physics - Theory
dc.titleProjective resolutions of coherent sheaves and descent relations between branes
dc.typetext

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