Fusion rules for the fractional level sl(2) algebra - INSPIRE

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Fusion rules for the fractional level sl(2) algebra

Hidetoshi Awata
(
- Hokkaido U.
)
,
Yasuhiko Yamada
(
- KEK, Tsukuba and
- Hokkaido U.
)

Jan, 1992

16 pages

Published in:

Mod.Phys.Lett.A 7 (1992) 1185-1196

DOI:

10.1142/S0217732392003645

Report number:

KEK-TH-316,
KEK-PREPRINT-91-209

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Abstract: (WSP)

We derive, as the condition for the null vector decoupling, the fusion rules for the

\widehat{{\rm sl}(2)}

algebra with fractional level, which have an interesting structure related to affine Weyl transformation. It is shown that, to get non-trivial fusion rules, we must include the primary field which belongs to neither the highest nor the lowest weight representations.

field theory: conformal
dimension: 2
algebra: SL(2)
algebra: fusion
fractional
operator product expansion

References(11)

Figures(0)

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