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arXiv · hep-th/0612237

SU(3) x SU(3) compactification and mirror duals of magnetic fluxes

Mariana Graña·Jan Louis·Daniel Waldram
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Abstract

This paper analyses type II string theories in backgrounds which admit an SU(3) x SU(3) structure. Such backgrounds are designed to linearly realize eight out of the original 32 supercharges and as a consequence the low-energy effective action can be written in terms of couplings which are closely related to the couplings of four-dimensional N=2 theories. This generalizes the previously studied case of SU(3) backgrounds in that the left- and right-moving sector each have a different globally defined spinor. Given a truncation to a finite number of modes, these backgrounds lead to a conventional four-dimensional low-energy effective theory. The results are manifestly mirror symmetric and give terms corresponding to the mirror dual couplings of Calabi-Yau compactifications with magnetic fluxes. It is argued, however, that generically such backgrounds are non-geometric and hence the supergravity analysis is not strictly valid. Remarkably, the naive generalization of the geometrical expressions nonetheless appears to give the correct low-energy effective theory.

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Mariana Graña, Jan Louis, Daniel Waldram. 2009-05-19. SU(3) x SU(3) compactification and mirror duals of magnetic fluxes. https://doi.org/10.1088/1126-6708%2F2007%2F04%2F101

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