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

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 $c\le 1$ non-critical strings. In the quantum case, we analyze the BRST cohomology to get the quantum free field expression of the algebra.

13 pages Latex, UTHEP-264

Cited by in corpus (4)

• Higher-Level Appell Functions, Modular Transformations, and Characters
• Free Field Realization of $WB{C}_n$ and $W{G}_2$ algebras
• Topological Strings from WZW Models
• Gauging of Nonlinearly Realized Symmetries