Generalized structures of N=1 vacua

Graña Mariana (1) , Ruben Minasian (1) , Michela Petrini (2) , Alessandro Tomasiello (3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
3 CPHT - Centre de Physique Théorique [Palaiseau]

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.

Domaines: Géométrie différentielle [math.DG]; Physique des Hautes Energies - Théorie [hep-th]

Graña Mariana, Ruben Minasian, Michela Petrini, Alessandro Tomasiello. Generalized structures of N=1 vacua. Journal of High Energy Physics, 2005, 0511, pp.020. ⟨hal-00529230⟩