Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions

H. Awata; H. Kubo; Y. Morita; S. Odake; J. Shiraishi

Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions

q-alg 2008-02-03 v1 High Energy Physics - Theory Quantum Algebra

Authors: H. Awata , H. Kubo , Y. Morita , S. Odake , J. Shiraishi

Abstract

Primary fields of the $q$ -deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields are represented by the shift operator $\Theta_{\xi} f(x)=f(\xi x)$ . Four point functions of the primary fields enjoy the connection formula associated with the Boltzmann weights of the fusion Andrews-Baxter-Forrester model.

Keywords

q-virasoro algebra vertex operators primary fields adjoint actions four point functions andrews-baxter-forrester model

Cite

@article{arxiv.q-alg/9604023,
  title  = {Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions},
  author = {H. Awata and H. Kubo and Y. Morita and S. Odake and J. Shiraishi},
  journal= {arXiv preprint arXiv:q-alg/9604023},
  year   = {2008}
}

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9 pages, LaTex file

Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions

Abstract

Keywords

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