Classical and Quantum $V$-algebras

J. F. Gomes; F. E. Mendonça da Silveira; G. M. Sotkov; A. H. Zimerman

Classical and Quantum $V$-algebras

高能物理 - 理论 2016-09-06 v1

作者: J. F. Gomes , F. E. Mendonça da Silveira , G. M. Sotkov , A. H. Zimerman

摘要

The problem of the classification of the extensions of the Virasoro algebra is discussed. It is shown that all $H$ -reduced $\hat{\cal G}_{r}$ -current algebras belong to one of the following basic algebraic structures: local quadratic $W$ -algebras, rational $U$ -algebras, nonlocal $V$ -algebras, nonlocal quadratic $WV$ -algebras and rational nonlocal $UV$ -algebras. The main new features of the quantum $V$ -algebras and their heighest weight representations are demonstrated on the example of the quantum $V_{3}^{(1,1)}$ -algebra.

关键词

quantum algebra lie algebras and representations

引用

@article{arxiv.hep-th/9810011,
  title  = {Classical and Quantum $V$-algebras},
  author = {J. F. Gomes and F. E. Mendonça da Silveira and G. M. Sotkov and A. H. Zimerman},
  journal= {arXiv preprint arXiv:hep-th/9810011},
  year   = {2016}
}

备注

Latex, 20 pages

Classical and Quantum $V$-algebras

摘要

关键词

引用

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