First Order String Theory and the Kodaira-Spencer Equations. I
arXiv:0906.4746 · doi:10.1088/1126-6708/2009/09/028
Abstract
We consider first-order bosonic string theory, perturbed by the primary operator, corresponding to deformation of the target-space complex structure. We compute the effective action in this theory and find that its consistency with the world-sheet conformal invariance requires necessarily the Kodaira-Spencer equations to be satisfied by target-space Beltrami differentials. We discuss the symmetries of the theory and its reformulation in terms of the vielbein background fields.
13 pages, 2 figures
References in corpus (12)
- Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
- Closed String Field Theory: Quantum Action and the BV Master Equation
- Introduction to string field theory
- Chiral de Rham complex
- Connections on the State-Space over Conformal Field Theories
- Two-Dimensional Models With (0,2) Supersymmetry: Perturbative Aspects
- On First Order Formalism in String Theory
- Conformal Field Theory and Algebraic Structure of Gauge Theory
- Formal Maurer-Cartan Structures: from CFT to Classical Field Equations
- Perturbed Beta-Gamma Systems and Complex Geometry
- BRST, Generalized Maurer-Cartan Equations and CFT
- Kodaira-Spencer deformation of complex structures and Lagrangian field theory