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

Abstract

The trace of intertwining operators over the level one irreducible highest weight modules of the quantum affine algebra of type AN-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.

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