English

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

High Energy Physics - Theory 2009-09-28 v1

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.

Keywords

Cite

@article{arxiv.0906.4746,
  title  = {First Order String Theory and the Kodaira-Spencer Equations. I},
  author = {O. Gamayun and A. S. Losev and A. Marshakov},
  journal= {arXiv preprint arXiv:0906.4746},
  year   = {2009}
}

Comments

13 pages, 2 figures

R2 v1 2026-06-21T13:17:52.767Z