Handbook of Pseudo-Riemannian Geometry and Supersymmetry

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pp: 263–273

DOI: 10.4171/079-1/8

A potential for generalized Kähler geometry

Ulf Lindström[1], Martin Roček[2], Rikard von Unge[3] and Maxim Zabzine[4]

(1) Uppsala Universitet, Sweden
(2) Stony Brook University, USA
(3) Masaryk University, Brno, Czech Republic
(4) Uppsala Universitet, Sweden

We show that, locally, in the neighbourhood of a regular point, all geometric objects of Generalized Kähler Geometry can be derived from a function K, the “generalized Kähler 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.

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