The (glm,gln) Duality in the Quantum Toroidal Setting View Full Text


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Article Info

DATE

2019-04

AUTHORS

B. Feigin, M. Jimbo, E. Mukhin

ABSTRACT

On a Fock space constructed from mn free bosons and lattice Zmn, we give a level n action of the quantum toroidal algebra Em associated to glm, together with a level m action of the quantum toroidal algebra En associated to gln. We prove that the Em transfer matrices commute with the En transfer matrices after an appropriate identification of parameters. More... »

PAGES

1-27

References to SciGraph publications

  • 1997-12. Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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  • 1998-03. Toroidal actions on level 1 modules of in TRANSFORMATION GROUPS
  • 1994-12. Gaudin model, Bethe Ansatz and critical level in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2006-07. Bispectral and dualities in FUNCTIONAL ANALYSIS AND OTHER MATHEMATICS
  • 2008-11. The Integrals of Motion for the Deformed W-Algebra . II. Proof of the Commutation Relations in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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  • 1999-03. Toroidal Braid Group Action and an Automorphism of Toroidal Algebra Uq(sln+1,tor) (n ≥ 2) in LETTERS IN MATHEMATICAL PHYSICS
  • 1996-04. Integrable structure of conformal field theory, quantum KdV theory and Thermodynamic Bethe Ansatz in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00220-019-03405-8

    DOI

    http://dx.doi.org/10.1007/s00220-019-03405-8

    DIMENSIONS

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