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arXiv · 1207.6412

Matrix theory origins of non-geometric fluxes

Athanasios Chatzistavrakidis·Larisa Jonke
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Abstract

We explore the origins of non-geometric fluxes within the context of M theory described as a matrix model. Building upon compactifications of Matrix theory on non-commutative tori and twisted tori, we formulate the conditions which describe compactifications with non-geometric fluxes. These turn out to be related to certain deformations of tori with non-commutative and non-associative structures on their phase space. Quantization of flux appears as a natural consequence of the framework and leads to the resolution of non-associativity at the level of the unitary operators. The quantum-mechanical nature of the model bestows an important role on the phase space. In particular, the geometric and non-geometric fluxes exchange their properties when going from position space to momentum space thus providing a duality among the two. Moreover, the operations which connect solutions with different fluxes are described and their relation to T-duality is discussed. Finally, we provide some insights on the effective gauge theories obtained from these matrix compactifications.

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Athanasios Chatzistavrakidis, Larisa Jonke. 2012-08-05. Matrix theory origins of non-geometric fluxes. https://doi.org/10.1007/jhep02(2013)040

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