Hamiltonian Reduction and Topological Conformal Algebra in $c\leq 1$ Non-critical Strings

preprint1993arXivOpen access

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 $c\leq1$ 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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Hamiltonian Reduction and Topological Conformal Algebra in $c\leq 1$ Non-critical Strings

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Hamiltonian Reduction and Topological Conformal Algebra in c≤1c\leq 1c≤1 Non-critical Strings

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Hamiltonian Reduction and Topological Conformal Algebra in $c\leq 1$ Non-critical Strings