Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-28
Mod.Phys.Lett. A9 (1994) 2157-2165
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, Plain Latex (latex twice)
Scientific paper
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.
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