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arXiv · 1202.6366

Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory

Cezar Condeescu·Ioannis Florakis·Dieter Lust
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Abstract

In this paper we consider a class of exactly solvable closed string flux backgrounds that exhibit non-commutativity in the closed string coordinates. They are realized in terms of freely-acting asymmetric Z_N-orbifolds, which are themselves close relatives of twisted torus fibrations with elliptic Z_N-monodromy (elliptic T-folds). We explicitly construct the modular invariant partition function of the models and derive the non-commutative algebra in the string coordinates, which is exact to all orders in α'. Finally, we relate these asymmetric orbifold spaces to inherently stringy Scherk-Schwarz backgrounds and non-geometric fluxes.

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Cezar Condeescu, Ioannis Florakis, Dieter Lust. 2012-03-08. Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory. https://doi.org/10.1007/jhep04(2012)121

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