Miura-like free field realization of fermionic Casimir WB3 algebras

Ozer H. T.

MODERN PHYSICS LETTERS A, vol.14, no.7, pp.469-477, 1999 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 7
  • Publication Date: 1999
  • Doi Number: 10.1142/s0217732399000523
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.469-477
  • Istanbul Technical University Affiliated: Yes

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 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.