Higher level vertex operators for Uq (s^l2)

• Slaven Kozic ^[1]
  1. [1] University of Sydney

     University of Sydney

     Australia

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 4, 2017, págs. 2397-2436
• Idioma: inglés
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• Resumen

  • We study graded nonlocal q-vertex algebras and we prove that they can be generated by certain sets of vertex operators. As an application, we consider the family of graded nonlocal q-vertex algebras Vc,1, c ≥ 1, associated with the principal subspaces W(c^0) of the integrable highest weight Uq (s^l2)-modules L(c^0). Using quantum integrability, we derive combinatorial bases for Vc,1 and compute the corresponding character formulae. Key