Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory
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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- April 2012
- DOI:
- 10.1007/JHEP04(2012)121
- arXiv:
- arXiv:1202.6366
- Bibcode:
- 2012JHEP...04..121C
- Keywords:
-
- Flux compactifications;
- Superstring Vacua;
- High Energy Physics - Theory
- E-Print:
- 30 pages