Miura-Like Free Field Realization Of Fermionic Casimir WB(3) Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages,no figures,TeX file

Scientific paper

10.1142/S0217732399000523

Starting from the well-known quantum Miura-like transformation for the non
simply-laced Lie algebras B(3),we give an explicit construction of the Casimir
WB(3) algebras.We reserve the notation WB(N) for the Casimir W algebras of type
W(2,4,6,...,2N,N+1/2) which contains one fermionic field. It is seen that WB(3)
algebra is closed an associative for all values of the central element c.

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