Construction of Free Energy of Calabi-Yau manifold embedded in $C{P}^{n-1}$ via Torus Actions

Abstract

We calculate correlation functions of topological sigma model (A-model) on Calabi-Yau hypersurfaces in $C{P}^{N-1}$ using torus action method. We also obtain path-integral represention of free energy of the theory coupled to gravity.

30 pages

References in corpus (3)

• Topological Field Theory and Rational Curves
• Rational curves on Calabi-Yau manifolds: verifying predictions of Mirror Symmetry
• Mirror Symmetry and An Exact Calculation of N-2 Point Correlation Function on Calabi-Yau Manifold embedded in CP^{N-1}

Cited by in corpus (4)

• On the Structure of the Small Quantum Cohomology Rings of Projective Hypersurfaces
• On Quantum Cohomology Rings for Hypersurfaces in $C{P}^{N-1}$
• J functions, non-nef toric varieties and equivariant local mirror symmetry of curves
• On the Quantum Cohomology Rings of General Type Projective Hypersurfaces and Generalized Mirror Transformation