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arXiv · 0906.4746

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

O. Gamayun·A. S. Losev·A. Marshakov
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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.

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O. Gamayun, A. S. Losev, A. Marshakov. 2009-06-25. First Order String Theory and the Kodaira-Spencer Equations. I. https://doi.org/10.1088/1126-6708%2F2009%2F09%2F028

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