Theory of Kähler Gravity

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 $\mathcal{S}\mathcal{D}iff$ 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.

Cited by in corpus (27)

• Quantum Foam and Topological Strings
• The String Landscape, the Swampland, and the Missing Corner
• Relating Field Theories via Stochastic Quantization
• Quiver Yangian and Supersymmetric Quantum Mechanics
• Topological Open Membranes
• Topological strings and their physical applications
• Topological Holography: The Example of The D2-D4 Brane System
• Crystal Melting and Wall Crossing Phenomena
• Superspin chains from superstring theory
• Amoebas and Instantons
• Maximally twisted eleven-dimensional supergravity
• Membranes for Topological M-Theory
• A Note on Topological M5-branes and String-Fivebrane Duality
• The Coupling of Chern-Simons Theory to Topological Gravity
• Gravitational Quantum Foam and Supersymmetric Gauge Theories
• Topological M Theory from Pure Spinor Formalism
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach
• DGBV Algebras and Mirror Symmetry
• On quasi-isomorphic DGBV algebras
• N=2 String Geometry and the Heavenly Equations
• Topological strings in generalized complex space
• Kodaira-Spencer Anomalies with Stora-Zumino Method
• Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau Manifold
• New Reflections on Gravitational Duality
• Homological perturbation theory and mirror symmetry