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

HOU Bo-Yu; ZHAO Liu

Chinese Physics C> 1993, Vol. 17> Issue(4) : 329-337

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

HOU Bo-Yu ^, ,
ZHAO Liu

Institute of Modern Physics,Northwest University,Xi'an 710069

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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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[20]	HAN QI-ZHI , SONG XING-CHANG , LI GEN-DAO , SUN HONG-ZHOU . IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n). Chinese Physics C, 1981, 5(5): 546-553.

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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

HOU Bo-Yu ^,
ZHAO Liu

Corresponding author: HOU Bo-Yu,

Institute of Modern Physics,Northwest University,Xi'an 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-04-05

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.