First Order String Theory and the Kodaira-Spencer Equations. I

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 (4)

• Two-Dimensional Models With (0,2) Supersymmetry: Perturbative Aspects
• Formal Maurer-Cartan Structures: from CFT to Classical Field Equations
• BRST, Generalized Maurer-Cartan Equations and CFT
• Perturbed Beta-Gamma Systems and Complex Geometry