Doubled space and extended supersymmetry

Abstract

The doubled formulation of the worldsheet provides a description of string theory in which T-duality is promoted to a manifest symmetry. Here we extend this approach to $\mathcal{N}=(2,2)$ superspace providing a doubled formulation for bi-Hermitian/generalised Kähler target spaces. The theory is described by a single function, a doubled-generalised Kähler potential, supplemented with a manifestly $\mathcal{N}=(2,2)$ constraint. Several examples serve to illustrate this construction, including a discussion of the $\mathcal{N}=(2,2)$ description of T-folds.

33pages

References in corpus (7)

• Double Field Theory
• Doubled Geometry and T-Folds
• The KK-Monopole/NS5-Brane in Doubled Geometry
• Linearizing Generalized Kahler Geometry
• Aspects of the Doubled Worldsheet
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models