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.

Grana, M., Minasian, R., Petrini, M., Tomasiello, A. (2005). Generalized structures of N=1 vacua. JOURNAL OF HIGH ENERGY PHYSICS(11), 469-490 [10.1088/1126-6708/2005/11/020].

Generalized structures of N=1 vacua

TOMASIELLO, ALESSANDRO
2005

Abstract

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.
Articolo in rivista - Articolo scientifico
teoria di stringa; compattificazioni
English
2005
11
469
490
none
Grana, M., Minasian, R., Petrini, M., Tomasiello, A. (2005). Generalized structures of N=1 vacua. JOURNAL OF HIGH ENERGY PHYSICS(11), 469-490 [10.1088/1126-6708/2005/11/020].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/12699
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