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arXiv · 0907.1503

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

O. Gamayun·A. Marshakov
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Abstract

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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O. Gamayun, A. Marshakov. 2009-07-09. First Order String Theory and the Kodaira-Spencer Equations. II. https://doi.org/10.1088/1126-6708/2009/09/065

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