Supersymmetric backgrounds from generalized Calabi-Yau manifolds
Jun, 2004
34 pages
Published in:
- JHEP 08 (2004) 046
e-Print:
- hep-th/0406137 [hep-th]
Report number:
- CPHT-RR-019-0504,
- LPTENS-04-32
View in:
Citations per year
Abstract:
We show that the supersymmetry transformations for type II string theories on six-manifolds can be written as differential conditions on a pair of pure spinors, the exponentiated Kahler form exp(iJ) and the holomorphic form Omega. The equations are explicitly symmetric under exchange of the two pure spinors and a choice of even or odd-rank RR field. This is mirror symmetry for manifolds with torsion. Moreover, RR fluxes affect only one of the two equations: exp(iJ) is closed under the action of the twisted exterior derivative in IIA theory, and similarly Omega is closed in IIB. Modulo a different action of the B-field, this means that supersymmetric SU(3)-structure manifolds are all generalized Calabi-Yau manifolds, as defined by Hitchin. An equivalent, and somewhat more conventional, description is given as a set of relations between the components of intrinsic torsions modified by the NS flux and the Clifford products of RR fluxes with pure spinors, allowing for a classification of type II supersymmetric vacua on six-manifolds. We find in particular that supersymmetric six-manifolds are always complex for IIB backgrounds while they are twisted symplectic for IIA.- Superstring Vacua
- Supergravity Models
- Differential and Algebraic Geometry
- string model
- supersymmetry: transformation
- dimension: 6
- background field
- space: Calabi-Yau
- duality
- symmetry: mirror
References(31)
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