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Prog. Theor. Phys. Supplement No.110 (1992) pp. 291-302

[ Full Text PDF : FREE ACCESS (676K) ]

Missing Link between Virasoro and \hatsl(2) Kac-Moody Algebras

Mitsuhiro Kato and Yasuhiko Yamada*

Institute of Physics, University of Tokyo, Komaba, Tokyo 153
*National Laboratory for High Energy Physics (KEK), Tsukuba 305

Abstract:

We discuss the representations of the fractional level \hatsl(2) affine Kac-Moody algebra and their relation to the Virasoro representations. A practical way of calculation of the free field null vectors and explicit relation between those for both algebras are given with many examples. For the complete degenerate representations some subtle points about the representations on and beyond the boundaries of the conformal grids are clarified.


URL : http://ptp.ipap.jp/link?PTPS/110/291/
DOI : 10.1143/PTPS.110.291

[ Full Text PDF : FREE ACCESS (676K) ] Citation:

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