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

Katsushi Ito, Hiroaki Kanno

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 topol…