D-brane networks in flux vacua, generalized cycles and calibrations

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dc.creatorEvslin, Jarah
dc.creatorMartucci, Luca
dc.date2007-03-14
dc.date2007-07-03
dc.date.accessioned2026-07-07T10:38:16Z
dc.date.available2026-07-07T10:38:16Z
dc.descriptionWe consider chains of generalized submanifolds, as defined by Gualtieri in the context of generalized complex geometry, and define a boundary operator that acts on them. This allows us to define generalized cycles and the corresponding homology theory. Gauge invariance demands that D-brane networks on flux vacua must wrap these generalized cycles, while deformations of generalized cycles inside of a certain homology class describe physical processes such as the dissolution of D-branes in higher-dimensional D-branes and MMS-like instantonic transitions. We introduce calibrations that identify the supersymmetric D-brane networks, which minimize their energy inside of the corresponding homology class of generalized cycles. Such a calibration is explicitly presented for type II N=1 flux compactifications to four dimensions. In particular networks of walls and strings in compactifications on warped Calabi-Yau's are treated, with explicit examples on a toroidal orientifold vacuum and on the Klebanov-Strassler geometry.
dc.description42 pages, 4 eps figures, version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/hep-th/0703129
dc.identifierhttp://arxiv.org/abs/hep-th/0703129
dc.identifierJHEP0707:040,2007
dc.identifierdoi:10.1088/1126-6708/2007/07/040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180658
dc.subjectHigh Energy Physics - Theory
dc.titleD-brane networks in flux vacua, generalized cycles and calibrations
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