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

2004/09/23 by Anton A. Gerasimov, Anton A Gerasimov, Samson L. Shatashvili +1 · 8 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/11/074

published as JHEP0411:074,2004 · 31 pages

arxiv created 2004/09/23 · openalex publication_date 2004/11/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• 2 + 1 dimensional gravity as an exactly soluble system
• Five-Brane Effective Action In M-Theory

Cited by

• Lectures on black holes, topological strings and quantum attractors
• A comment on quantum distribution functions and the OSV conjecture
• M-theory on eight-manifolds revisited: Script N = 1 supersymmetry and generalized Spin(7) structures
• Quantum attractor flows
• The Topological G2 String
• Geometric transition as a change of polarization
• From current algebras for p-branes to topological M-theory
• Membranes for topological M-theory