On Problems of the Lagrangian Quantization of W3-gravity

Details On Problems of the Lagrangian Quantization of W3-gravity On Problems of the Lagrangian Quantization of W3-gravity

2003-01-09

arxiv.org/abs/hep-th/0301060v1

Int.J.Mod.Phys. A18 (2003) 5099-5125

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures

Scientific paper

10.1142/S0217751X0301526X

We consider the two-dimensional model of W3-gravity within Lagrangian quantization methods for general gauge theories. We use the Batalin-Vilkovisky formalism to study the arbitrariness in the realization of the gauge algebra. We obtain a one-parametric non-analytic extension of the gauge algebra, and a corresponding solution of the classical master equation, related via an anticanonical transformation to a solution corresponding to an analytic realization. We investigate the possibility of closed solutions of the classical master equation in the Sp(2)-covariant formalism and show that such solutions do not exist in the approximation up to the third order in ghost and auxiliary fields.

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