On First Order Formalism in String Theory

Details On First Order Formalism in String Theory On First Order Formalism in String Theory

2005-10-08

arxiv.org/abs/hep-th/0510065v2

Phys.Lett.B633:375-381,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 18 pages, Phys. Lett. B, in press, corrected typos

Scientific paper

10.1016/j.physletb.2005.12.010

We consider the first order formalism in string theory, providing a new off-shell description of the nontrivial backgrounds around an "infinite metric". The OPE of the vertex operators, corresponding to the background fields in some "twistor representation", and conditions of conformal invariance results in the quadratic equation for the background fields, which appears to be equivalent to the Einstein equations with a Kalb-Ramond B-field and a dilaton. Using a new representation for the Einstein equations with B-field and dilaton we find a new class of solutions including the plane waves for metric (graviton) and the B-field. We discuss the properties of these background equations and main features of the BRST operator in this approach.

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