Duality, quotients, and currents

Duality, Quotients, and Currents

We study the generalization of R → 1/R duality to arbitrary conformally invariant sigma models with an isometry. We show that any pair of dual sigma models can be represented as quotients of a self-dual sigma model obtained by gauging different combinations of chiral currents. This observation is used to clarify the interpretation of the generalized duality as a symmetry of conformal field theo...

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

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 Hflux. Employing conformal field theory techniques, the non-commutative and nonassociative structures among generalized coordinates in the so call...

Quivers, Quotients, and Duality

We give a direct computational proof of N = 2 Seiberg duality for arbitrary quivers, and find the action on the Fayet-Iliopoulos parameters. We also find a new analogous classical duality for Kähler potentials of N = 1 quivers that generalizes the trivial duality Gr(N,N+M) ≃ Gr(M,N+M) for Grassmannians. [email protected] Roč[email protected]

T-duality, quotients and generalized Kähler geometry

In this paper we reopen the discussion of gauging the two-dimensional off-shell (2, 2) supersymmetric sigma models written in terms of semichiral superfields. The associated target space geometry of this particular sigma model is generalized Kähler (or bi-hermitean with two noncommuting complex structures). The gauging of the isometries of the sigma model is now done by coupling the semichiral ...

Trace, residue currents and multidimensional residues, duality and division