Generalized structures of N=1 vacua
May, 2005
22 pages
Published in:
- JHEP 11 (2005) 020
e-Print:
- hep-th/0505212 [hep-th]
Report number:
- CPHT-RR-029-0505,
- SPHT-T05-079,
- LPTENS-05-16,
- SU-ITP-05-18
Citations per year
Abstract: (arXiv)
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.- string model
- supersymmetry
- compactification
- vacuum state
- symmetry: SU(3) x SU(3)
- algebra: representation
- spinor
- space: Calabi-Yau
- integrability
References(31)
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