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

Details First Order String Theory and the Kodaira-Spencer Equations. II First Order String Theory and the Kodaira-Spencer Equations. II

2009-07-09

arxiv.org/abs/0907.1503v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 3 figures

Scientific paper

The first-order bosonic string theory, perturbed by primary operator, corresponding to the deformation of target-space complex structure is considered. We compute the correlation functions in this theory and study their divergencies. It is found, that consistency of these correlation functions with the world-sheet conformal invariance requires the Kodaira-Spencer equations to be satisfied by target-space Beltrami differentials. This statement is checked explicitly for the three-point and four-point correlators, containing one probe operator. We discuss the origin of these divergences and their relation with beta-functions or effective action and polyvertex structures in BRST approach.

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