Hamiltonian Reduction and Topological Conformal Algebra in c≤ 1 Non-critical Strings
Katsushi Ito, Hiroaki Kanno
Abstract
We study the hamiltonian reduction of affine Lie superalgebra sl(2|1)(1). Based on a scalar Lax operator formalism, we derive the free field realization of the classical topological topological algebra which appears in the c≤1 non-critical strings. In the quantum case, we analyze the BRST cohomology to get the quantum free field expression of the algebra.
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