Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation

Abstract

The trace of intertwining operators over the level one irreducible highest weight modules of the quantum affine algebra of type A_{N-1} is studied. It is proved that the trace function gives a basis of the solution space of the qKZ equation at a generic level. The highest-highest matrix element of the composition of intertwining operators is explicitly calculated. The integral formula for the trace is presented.

32 pages, Latex

References in corpus (3)

• On solutions of the KZ and qKZ equations at level zero
• Completeness of the Hypergeometric Solutions of the qKZ Equation at Level Zero
• Vertex Models with Alternating Spins

Cited by in corpus (4)

• The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
• Quiver varieties and quantum Knizhnik--Zamolodchikov equation
• Smirnov-type integral formulae for correlation functions of the bulk/boundary XXZ model in the anti-ferromagnetic regime
• Form factors of SU(N) invariant Thirring model