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Generalized structures of N=1 vacua

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arxiv hep-th/0505212 v3 pith:4MVQ4V5N submitted 2005-05-24 hep-th math.DG

Mariana Graña , Ruben Minasian , Michela Petrini , Alessandro Tomasiello This is my paper · ORCID
classification hep-thmath.DG
keywords generalizedimpliesinternalmanifoldpurestructuretypevacua
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We characterize N=1 vacua of type II theories in terms of generalized complex structure on the internal manifold M. The structure group of T(M) + T*(M) being SU(3) x SU(3) implies the existence of two pure spinors Phi_1 and Phi_2. The conditions for preserving N=1 supersymmetry turn out to be simple generalizations of equations that have appeared in the context of N=2 and topological strings. They are (d + H wedge) Phi_1=0 and (d + H wedge) Phi_2 = F_RR. The equation for the first pure spinor implies that the internal space is a twisted generalized Calabi-Yau manifold of a hybrid complex-symplectic type, while the RR-fields serve as an integrability defect for the second.

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Cited by 5 Pith papers

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