Theory of Kahler gravity

Oct, 1994
47 pages
Published in:
  • Int.J.Mod.Phys.A 11 (1996) 4689-4730
e-Print:
Report number:
  • HUTP-94-A013

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Abstract:
In this paper we discuss the connection on a space of N=2N=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 SDiff{\cal SD}iff in the case of 33-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.
  • field theory: conformal
  • field theory: topological
  • dependence: background
  • gauge field theory
  • gravitation: Kaehler
  • differential geometry
  • Hamiltonian formalism
  • string model: topological
  • quantization: Batalin-Vilkovisky
  • quantum mechanics: supersymmetry
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