Deformations of calibrated D-branes in flux generalized complex manifolds | Zendy

Paul Koerber | Zendy; Luca Martucci | Zendy

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Deformations of calibrated D-branes in flux generalized complex manifolds

Author(s) -

Paul Koerber,

Luca Martucci

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/12/062

Subject(s) - submanifold , lie algebroid , cohomology , massless particle , integrable system , complex geometry , mathematics , pure mathematics , brane cosmology , type (biology) , physics , geometry , theoretical physics , mathematical physics , lie algebra , paleontology , geology

We study massless deformations of generalized calibrated cycles, whichdescribe, in the language of generalized complex geometry, supersymmetricD-branes in N=1 supersymmetric compactifications with fluxes. We find that thedeformations are classified by the first cohomology group of a Lie algebroidcanonically associated to the generalized calibrated cycle, seen as ageneralized complex submanifold with respect to the integrable generalizedcomplex structure of the bulk. We provide examples in the SU(3) structure caseand in a `genuine' generalized complex structure case. We discuss cases oflifting of massless modes due to world-volume fluxes, background fluxes and ageneralized complex structure that changes type.

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