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

2012/02/29 by Cezar Condeescu, Ioannis Florakis, Dieter Lust · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep04(2012)121

30 pages

arxiv created 2012/03/08 · arxiv updated 2015/06/04

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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