1995/07/31 by Jun'Ichi Shiraishi, Jun'ichi Shiraishi, Harunobu Kubo +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #hep-th #math.QA #q-alg
paper · pdf · doi:10.1007/bf00398297
published as Lett.Math.Phys. 38 (1996) 33 · 15 pages, latex file
arxiv created 1995/08/06 · openalex publication_date 1996/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra. Singular vectors are expressed by the Macdonald symmetric functions. This is proved by constructing screening currents acting on the bosonic Fock space.