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Effective descriptions of branes on non-geometric tori

Ian Ellwood·Akikazu Hashimoto
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Abstract

We investigate the low-energy effective description of non-geometric compactifications constructed by T-dualizing two or three of the directions of a T^3 with non-vanishing H-flux. Our approach is to introduce a D3-brane in these geometries and to take an appropriate decoupling limit. In the case of two T-dualities, we find at low energies a non-commutative T^2 fibered non-trivially over an S^1. In the UV this theory is still decoupled from gravity, but is dual to a little string theory with flavor. For the case of three T-dualities, we do not find a sensible decoupling limit, casting doubt on this geometry as a low-energy effective notion in critical string theory. However, by studying a topological toy model in this background, we find a non-associative geometry similar to one found by Bouwknegt, Hannabuss, and Mathai.

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Ian Ellwood, Akikazu Hashimoto. 2007-02-05. Effective descriptions of branes on non-geometric tori. https://doi.org/10.1088/1126-6708%2F2006%2F12%2F025

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