Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds

Abstract

The precise relation between Kodaira-Spencer path integral and a particular wave function in seven dimensional quadratic field theory is established. The special properties of three-forms in 6d, as well as Hitchin's action functional, play an important role. The latter defines a quantum field theory similar to Polyakov's formulation of 2d gravity; the curious analogy with world-sheet action of bosonic string is also pointed out.

arXiv comment31 pages

References in corpus (5)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Holomorphic Anomalies in Topological Field Theories
• Five-Brane Effective Action In M-Theory
• Special Kahler Manifolds
• The Six Dimensional Self-Dual Tensor

Cited by in corpus (28)

• Hitchin Functionals in N=2 Supergravity
• Black hole partition functions and duality
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Quantum Attractor Flows
• Topological wave functions and heat equations
• The Hitchin functionals and the topological B-model at one loop
• E7(7) formulation of N=2 backgrounds
• 6D Fractional Quantum Hall Effect
• M-theory on eight-manifolds revisited: N=1 supersymmetry and generalized Spin(7) structures
• From current algebras for p-branes to topological M-theory
• Topological Strings and (Almost) Modular Forms
• The Topological G2 String
• Maximally twisted eleven-dimensional supergravity
• Membranes for Topological M-Theory
• From Zwiebach invariants to Getzler relation
• Tautological relations in Hodge field theory
• Black hole entropy and topological strings on generalized CY manifolds
• On topological F-theory
• Quantum Chern-Simons theories on cylinders: BV-BFV partition functions
• Computing Amplitudes in topological M-theory
• General Relativity from Three-Forms in Seven Dimensions
• Quantization and holomorphic anomaly
• Kahler Quantization of H3(CY3,R) and the Holomorphic Anomaly
• Topological G${}_2$ and Spin(7) strings at 1-loop from double complexes
• A Comment on Quantum Distribution Functions and the OSV Conjecture
• Towards A Topological G_2 String
• Dynamics of 3-Forms in Seven Dimensions
• Geometric Transition as a Change of Polarization