A potential for Generalized Kahler Geometry

TL;DR

This paper demonstrates that in Generalized Kahler Geometry, all local geometric objects can be derived from a single potential function, with the metric and B-field expressed as nonlinear functions of its second derivatives, via a quotient construction.

Contribution

It introduces a generalized Kahler potential from which all local geometric objects can be derived, revealing a quotient construction from an auxiliary space.

Findings

All geometric objects derive from a potential function K.

The metric and B-field are nonlinear functions of second derivatives of K.

The nonlinearities originate from a quotient construction from an auxiliary local product space.

Abstract

We show that, locally, all geometric objects of Generalized Kahler Geometry can be derived from a function K, the "generalized Kahler potential''. The metric g and two-form B are determined as nonlinear functions of second derivatives of K. These nonlinearities are shown to arise via a quotient construction from an auxiliary local product (ALP) space.