Type IIB Flows with N=1 Supersymmetry
arXiv:0709.3813 · doi:10.1088/1126-6708/2007/10/082
Abstract
We write general and explicit equations which solve the supersymmetry transformations with two arbitrary complex-proportional Weyl spinors on supersymmetric type IIB strings backgrounds with all R-R , , and NS-NS fluxes turned on using SU(3) structures. The equations are generalizations of the ones found for specific relations between the two spinors by Grana, Minasian, Petrini and Tomasiello in [1] and by Butti, Grana, Minasian, Petrini and Zaffaroni in [2]. The general equations allow to study systematically generic type IIB backgrounds with supersymmetry. We then explore some specific classes of flows with constant axion, flows with constant dilaton, flows on conformally Calabi-Yau backgrounds, flows with imaginary self-dual 3-form flux, flows with constant ratio of the two spinors, the corresponding equations are written down and some of their features and relations are discussed.
28 pages
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