The Analytic structure of trigonometric S matrices

May, 1993
24 pages
Published in:
  • Nucl.Phys.B 414 (1994) 379-404
e-Print:
Report number:
  • CERN-TH-6888-93

Citations per year

199319992005201120151420
Abstract:
SS-matrices associated to the vector representations of the quantum groups for the classical Lie algebras are constructed. For the am1a_{m-1} and cmc_m algebras the complete SS-matrix is found by an application of the bootstrap equations. It is shown that the simplest form for the SS-matrix which generalizes that of the Gross-Neveu model is not consistent for the non-simply-laced algebras due to the existence of unexplained singularities on the physical strip. However, a form which generalizes the SS-matrix of the principal chiral model is shown to be consistent.
  • quantum group: representation
  • Yang-Baxter equation: solution
  • S-matrix
  • analytic properties
  • bootstrap