T-duality, Quotients and Currents for Non-Geometric Closed Strings

Abstract

We use the canonical description of T-duality as well as the formulation of T-duality in terms of chiral currents to investigate the geometric and non-geometric faces of closed string backgrounds originating from principal torus bundles with constant H-flux. Employing conformal field theory techniques, the non-commutative and non-associative structures among generalized coordinates in the so called Q-flux and R-flux backgrounds emerge by gauging the Abelian symmetries of an enlarged Rocek-Verlinde sigma-model and projecting the associated chiral currents of the enlarged theory to the T-dual coset models carrying non-geometric fluxes.

56 pages

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Cited by in corpus (14)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Double Field Theory and Membrane Sigma-Models
• Non-associativity in non-geometric string and M-theory backgrounds, the algebra of octonions, and missing momentum modes
• $G_2$-structures and quantization of non-geometric M-theory backgrounds
• Nonassociative differential geometry and gravity with non-geometric fluxes
• Towards a Theory of Nonassociative Gravity
• Highly Excited Strings I: Generating Function
• T-duality without isometry via extended gauge symmetries of 2D sigma models
• Locally non-geometric fluxes and missing momenta in M-theory
• T-duality Twists and Asymmetric Orbifolds
• Non-geometric Kaluza-Klein monopoles and magnetic duals of M-theory R-flux backgrounds
• Towards a world-sheet description of doubled geometry in string theory
• Open-String Non-Associativity in an R-flux Background
• On topology changes in quantum field theory and quantum gravity