Miura-like free field realization of fermionic Casimir WB3 algebras


Ozer H. T.

MODERN PHYSICS LETTERS A, cilt.14, sa.7, ss.469-477, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 7
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1142/s0217732399000523
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.469-477
  • İstanbul Teknik Üniversitesi Adresli: Evet

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 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.