Type B Topological Matter, Kodaira-Spencer Theory, and Mirror Symmetry

Abstract

Perturbing usual type B topological matter with vector $(0,1)$-forms we find a topological theory which contains explicitly Kodaira-Spencer deformation theory. It is shown that, in genus zero, three-point correlation functions give the Yukawa couplings for a generic point in the moduli space of complex structures. This generalization of type B topological matter seems to be the correct framework to understand mirror symmetry in terms of two-dimensional topological field theories.

17 pages, phyzzx, US-FT/7-94

References in corpus (3)

• Mirror Manifolds And Topological Field Theory
• Topological Field Theory and Rational Curves
• Topological Matter in Two Dimensions

Cited by in corpus (8)

• Les Houches lectures on matrix models and topological strings
• The other topological twisting of N=4 Yang-Mills
• Twisting gauged non-linear sigma-models
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Kodaira-Spencer deformation of complex structures and Lagrangian field theory
• W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach
• Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau Manifold
• Kodaira-Spencer Anomalies with Stora-Zumino Method