Graded contractions of Virasoro algebras
High Energy Physics - Theory
2007-05-23 v1
Abstract
We describe graded contractions of Virasoro algebra. The highest weight representations of Virasoro algebra are constructed. The reducibility of representations is analysed. In contrast to standart representations the contracted ones are reducible except some special cases. Moreover we find an exotic module with null-plane on fifth level.
Keywords
Cite
@article{arxiv.hep-th/0102052,
title = {Graded contractions of Virasoro algebras},
author = {I. V. Kostyakov and N. A. Gromov and V. V. Kuratov},
journal= {arXiv preprint arXiv:hep-th/0102052},
year = {2007}
}
Comments
10 pages, Latex. Report given at XXIII Int. Colloquium on Group Theoretical Methods in Physics, July 31 - August 05, 2000, Dubna (Russia)