Theory of Kähler Gravity
Michael Bershadsky, Vladimir Sadov
Abstract
In this paper we discuss the connection on a space of N=2 TCFT's that appears in the context of background (in)dependence. We formulate a family of target space field theories with a similar connection on it. Each theory is a gauge theory (with the gauge group being SDiff in the case of 3-fold). It describes deformations of Kähler structures much like Kodaira Spencer theory describes deformations of the complex structures. It is manifestly background independent. It appears to be a target space field theory for supersymmetric quantum mechanics.
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