Generalized Kahler manifolds and off-shell supersymmetry

TL;DR

This paper provides a solution to the problem of formulating off-shell supersymmetry for general N=(2,2) nonlinear sigma models by introducing generalized Kahler potentials that serve as superspace Lagrangians, revealing geometric structures.

Contribution

It introduces the concept of generalized Kahler potential as the superspace Lagrangian for any generalized Kahler manifold, solving a longstanding problem in supersymmetric sigma models.

Findings

Constructed the generalized Kahler potential for any generalized Kahler manifold.

Established the geometric significance of the generalized Kahler potential.

Provided an off-shell supersymmetric formulation for N=(2,2) sigma models.

Abstract

We solve the long standing problem of finding an off-shell supersymmetric formulation for a general N = (2, 2) nonlinear two dimensional sigma model. Geometrically the problem is equivalent to proving the existence of special coordinates; these correspond to particular superfields that allow for a superspace description. We construct and explain the geometric significance of the generalized Kahler potential for any generalized Kahler manifold; this potential is the superspace Lagrangian.