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

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

1993-10-14

arxiv.org/abs/hep-th/9310076v1

Mod.Phys.Lett. A9 (1994) 1377-1388

Physics

High Energy Physics

High Energy Physics - Theory

13 pages Latex, UTHEP-264

Scientific paper

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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