Branes in hearts with perverse sheaves

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dc.creatorMukhopadhyay, Subir
dc.creatorRay, Koushik
dc.date2008-02-12
dc.date2008-02-21
dc.date.accessioned2026-07-07T11:14:13Z
dc.date.available2026-07-07T11:14:13Z
dc.descriptionVarious topological properties of D-branes in the type--IIA theory are captured by the topologically twisted B-model, treating D-branes as objects in the bounded derived category of coherent sheaves on the compact part of the target space. The set of basic D-branes wrapped on the homology cycles of the compact space are taken to reside in the heart of t-structures of the derived category of coherent sheaves on the space at any point in the Kähler moduli space. The stability data entails specifying a t-structure along with a grade for sorting the branes. Considering an example of a degenerate Calabi-Yau space, obtained via geometric engineering, that retains but a projective curve as the sole non-compact part, we identify the regions in the Kähler moduli space of the curve that pertain to the different t-structures of the bounded derived category of coherent sheaves on the curve corresponding to the different phases of the topological branes.
dc.description21 pages, LaTeX, references added, cosmetic changes
dc.identifierhttps://arxiv.org/abs/0802.1658
dc.identifierhttp://arxiv.org/abs/0802.1658
dc.identifierIndianJ.Phys.A80:1109-1122,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191989
dc.subjectHigh Energy Physics - Theory
dc.titleBranes in hearts with perverse sheaves
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