Notes on Curtright–Zachos Deformations of osp(1,2) and Super Virasoro Algebras

Author:

Aizawa Naruhiko1,Kobayashi Tatsuo2,Sato Haru-Tada3

Affiliation:

1. Department of Applied Mathematics, Osaka Women's University, Sakai, Osaka 590, Japan

2. Institute for Nuclear Study, University of Tokyo, Midori-cho, Tanashi, Tokyo 188, Japan

3. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120, Heidelberg, Germany

Abstract

Based on the quantum superspace construction of q-deformed algebra, we discuss a supersymmetric extension of the deformed Virasoro algebra, which is a subset of the q–W algebra which recently appeared in the context of two-dimensional string theory. We analyze two types of deformed super Virasoro algebra as well as their osp(1,2) subalgebras. Applying our quantum superspace structure to conformal field theory, we find the same type of deformation of affine sl(2) algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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