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^*

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

4 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	469-477
Sayfa sayısı	9
Dergi	Modern Physics Letters A
Hacim	14
Basın numarası	7
DOI'lar	https://doi.org/10.1142/s0217732399000523
Yayın durumu	Yayınlandı - 7 Mar 1999

Belgeye Erişim

10.1142/s0217732399000523

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Miura-like free field realization of fermionic Casimir WB3 algebras",

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.

UR - https://www.scopus.com/pages/publications/0040914605

U2 - 10.1142/s0217732399000523

DO - 10.1142/s0217732399000523

M3 - Article

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JO - Modern Physics Letters A

JF - Modern Physics Letters A

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