On the Connections of W Algebras from Different Reductions of WZNW Theory

  • The possible isomorphic relations between W algebras from various conformal reductions of WZNW model are investigated and the criterion for the isomorphism of W algebras is given.In the special case of sl3 WZNW theory,we show explicitly the isomorphism between W[(111)2] and W[(12)1] and discuss the constraint-gauge condition transmutation between the O'Raifeartaigh gauges and the transmutation of conformal weights under the isomorphism transformation.
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HOU Bo-Yu and ZHAO Liu. On the Connections of W Algebras from Different Reductions of WZNW Theory[J]. Chinese Physics C, 1993, 17(4): 329-337.
HOU Bo-Yu and ZHAO Liu. On the Connections of W Algebras from Different Reductions of WZNW Theory[J]. Chinese Physics C, 1993, 17(4): 329-337. shu
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Received: 1900-01-01
Revised: 1900-01-01
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On the Connections of W Algebras from Different Reductions of WZNW Theory

    Corresponding author: HOU Bo-Yu,
  • Institute of Modern Physics,Northwest University,Xi'an 710069

Abstract: The possible isomorphic relations between W algebras from various conformal reductions of WZNW model are investigated and the criterion for the isomorphism of W algebras is given.In the special case of sl3 WZNW theory,we show explicitly the isomorphism between W[(111)2] and W[(12)1] and discuss the constraint-gauge condition transmutation between the O'Raifeartaigh gauges and the transmutation of conformal weights under the isomorphism transformation.

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