BV and BFV Formulation of a Gauge Theory of Quadratic Lie Algebras in 2-d and a Construction of W3 Topological Gravity

Abstract

The recently proposed generalized field method for solving the master equation of Batalin and Vilkovisky is applied to a gauge theory of quadratic Lie algebras in 2-dimensions. The charge corresponding to BRST symmetry derived from this solution in terms of the phase space variables by using the Noether procedure, and the one found due to the BFV-method are compared and found to coincide. $W_3$ algebra, formulated in terms of a continuous variable is emploied in the mentioned gauge theory to construct a $W_3$ topological gravity. Moreover, its gauge fixing is briefly discussed.

arXiv comment12 pages, Plain Latex (latex twice)

References in corpus (1)

• Two-Dimensional Gravity and Nonlinear Gauge Theory

Cited by in corpus (2)

• Consistent Interactions in terms of the Generalized Fields Method
• BRST Analysis of Gauge Theories Based on Nonlinear Algebras in 2d