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Supersymmetric backgrounds from generalized Calabi–Yau manifolds
- Source :
-
Comptes Rendus Physique . Nov2004, Vol. 5 Issue 9/10, p979-986. 8p. - Publication Year :
- 2004
-
Abstract
- 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 Kähler form and the holomorphic form Ω. 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: is closed under the action of the twisted exterior derivative in IIA theory, and similarly Ω is closed in IIB. This means that supersymmetric SU(3)-structure manifolds are always complex in IIB while they are twisted symplectic in IIA. Modulo a different action of the B-field, these are all generalized Calabi–Yau manifolds, as defined by Hitchin. To cite this article: M. Graña et al., C. R. Physique 5 (2004). [Copyright &y& Elsevier]
- Subjects :
- *SUPERSYMMETRY
*STRING models (Physics)
*MANIFOLDS (Mathematics)
*EQUATIONS
*THEORY
Subjects
Details
- Language :
- English
- ISSN :
- 16310705
- Volume :
- 5
- Issue :
- 9/10
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus Physique
- Publication Type :
- Academic Journal
- Accession number :
- 15560134
- Full Text :
- https://doi.org/10.1016/j.crhy.2004.09.010