Journal of High Energy Physics

, 2013:95 | Cite as

On form factors and Macdonald polynomials

Article

Abstract

We are developing the algebraic construction for form factors of local operators in the sinh-Gordon theory proposed in [1]. We show that the operators corresponding to the null vectors in this construction are given by the degenerate Macdonald polynomials with rectangular partitions and the parameters t = −q on the unit circle. We obtain an integral representation for the null vectors and discuss its simple applications.

Keywords

Integrable Field Theories Quantum Groups Exact S-Matrix 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsChernogolovkaRussia
  2. 2.Moscow Institute of Physics and TechnologyDolgoprudny of Moscow RegionRussia

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