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arXiv · 0904.2993

Type II compactifications on manifolds with SU(2) x SU(2) structure

Hagen Triendl·Jan Louis
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Abstract

We study compactifications of type II theories on SU(2) x SU(2) structure manifolds to six, five and four spacetime dimensions. We use the framework of generalized geometry to describe the NS-NS sector of such compactifications and derive the structure of their moduli spaces. We show that in contrast to SU(3) x SU(3) structure compactifications, there is no dynamical SU(2) x SU(2) structure interpolating between an SU(2) structure and an identity structure. Furthermore, we formulate type II compactifications on SU(2) x SU(2) structures in the context of exceptional generalized geometry which makes the U-duality group manifest and naturally incorporates the scalar degrees of freedom arising in the Ramond-Ramond sector. Via this formalism we derive the structure of the moduli spaces as it is expected from N=4 supergravity.

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Hagen Triendl, Jan Louis. 2009-07-23. Type II compactifications on manifolds with SU(2) x SU(2) structure. https://doi.org/10.1088/1126-6708/2009/07/080

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