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Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory

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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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Authors and Affiliations

  1. Department of Theoretical Physics, Horia Hulubei National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Măgurele — Bucharest, 077125, Jud. Ilfov, România

    Cezar Condeescu

  2. Arnold Sommerfeld Center for Theoretical Physics, Fakultät für Physik, Ludwig-Maximilians-Universität München, Theresienstr. 37, 80333, München, Germany

    Ioannis Florakis & Dieter Lüst

  3. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805, München, Germany

    Ioannis Florakis & Dieter Lüst

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  1. Cezar Condeescu
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  2. Ioannis Florakis
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  3. Dieter Lüst
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Correspondence to Ioannis Florakis.

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ArXiv ePrint: 1202.6366

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Condeescu, C., Florakis, I. & Lüst, D. Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory. J. High Energ. Phys. 2012, 121 (2012). https://doi.org/10.1007/JHEP04(2012)121

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