Perturbed Beta-Gamma Systems and Complex Geometry

Details Perturbed Beta-Gamma Systems and Complex Geometry Perturbed Beta-Gamma Systems and Complex Geometry

2007-08-05

arxiv.org/abs/0708.0682v1

Nucl.Phys.B794:381-401,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 27 pages

Scientific paper

10.1016/j.nuclphysb.2007.09.002

We consider the equations, arising as the conformal invariance conditions of the perturbed curved beta-gamma system. These equations have the physical meaning of Einstein equations with a B-field and a dilaton on a hermitian manifold, where the B-field 2-form is imaginary and proportional to the canonical form associated with hermitian metric. We show that they decompose into linear and bilinear equations and lead to the vanishing of the first Chern class of the manifold where the system is defined. We discuss the relation of these equations to the generalized Maurer-Cartan structures related to BRST operator. Finally we describe the relations of the generalized Maurer-Cartan bilinear operation and the Courant/Dorfman brackets.

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