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Theory of K\"ahler Gravity
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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 {\it target space field theories} with a similar connection on it. Each theory is a gauge theory (with the gauge group being ${\cal SD}iff $ in the case of $3$-fold). It describes deformations of K\"ahler 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.
Forward citations
Cited by 2 Pith papers
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Off-shell double copy theories in BV
A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.
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Chern-Simons Theory, Holography and Topological Strings
A review of Chern-Simons/topological string duality with a new heuristic explanation of the conifold transition in terms of a 3-form gauge field sourced by D-branes.
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