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

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

2009-06-25

arxiv.org/abs/0906.4746v1

JHEP 0909:028,2009

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures

Scientific paper

10.1088/1126-6708/2009/09/028

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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