Quantum Hamiltonian Reduction of Super Kac-Moody Algebra II
T. Kuramoto
TL;DR
This paper details the quantum Hamiltonian reduction of the super Kac-Moody algebra OSp(1,2) using BRST formalism, resulting in a supersymmetric superconformal algebra through free field representation.
Contribution
It introduces a supersymmetric Hamiltonian reduction method for super Kac-Moody algebras using BRST formalism and free field representation.
Findings
Reduction yields a superconformal algebra from super Kac-Moody algebra.
Reduction process is manifestly supersymmetric.
Uses BRST formalism and free field representation.
Abstract
The quantum Hamiltonian reduction on the OSp(1,2) super Kac-Moody algebra is described in the BRST formalism. Using a free field representation of the KM currents, the super Kac-Moody algebra is shown to be reduced to a superconformal one via the Hamiltonian reduction. This reduction is manifestly supersymmetric because of supersymmetric constraints imposed on the algebra.
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