Miura-like free field realization of fermionic Casimir WB3 algebras

H. T. Özer

doi:10.1142/s0217732399000523

Miura-like free field realization of fermionic Casimir WB₃ algebras

H. T. Özer^*

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Starting from the well-known quantum Miura-like transformation for the non-simply-laced Lie algebras B_N, we give an explicit construction of the Casimir WB₃ algebras. We reserve the notation WB_N for the Casimir W algebras of type W(2, 4, 6, . . . , 2N, 2N + 1/2) which contains one fermionic field. It is seen that WB₃ algebra is closed and associative for all values of the central charge c.

Original language	English
Pages (from-to)	469-477
Number of pages	9
Journal	Modern Physics Letters A
Volume	14
Issue number	7
DOIs	https://doi.org/10.1142/s0217732399000523
Publication status	Published - 7 Mar 1999

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abstract = "Starting from the well-known quantum Miura-like transformation for the non-simply-laced Lie algebras BN, we give an explicit construction of the Casimir WB3 algebras. We reserve the notation WBN for the Casimir W algebras of type W(2, 4, 6, . . . , 2N, 2N + 1/2) which contains one fermionic field. It is seen that WB3 algebra is closed and associative for all values of the central charge c.",

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N2 - Starting from the well-known quantum Miura-like transformation for the non-simply-laced Lie algebras BN, we give an explicit construction of the Casimir WB3 algebras. We reserve the notation WBN for the Casimir W algebras of type W(2, 4, 6, . . . , 2N, 2N + 1/2) which contains one fermionic field. It is seen that WB3 algebra is closed and associative for all values of the central charge c.

AB - Starting from the well-known quantum Miura-like transformation for the non-simply-laced Lie algebras BN, we give an explicit construction of the Casimir WB3 algebras. We reserve the notation WBN for the Casimir W algebras of type W(2, 4, 6, . . . , 2N, 2N + 1/2) which contains one fermionic field. It is seen that WB3 algebra is closed and associative for all values of the central charge c.

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DO - 10.1142/s0217732399000523

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JO - Modern Physics Letters A

JF - Modern Physics Letters A

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ER -

Miura-like free field realization of fermionic Casimir WB₃ algebras

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