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Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Kazunori Kuroki, Atsushi Nakayashiki
Solutions of the qKZ equation associated with the quantum affine algebra and its two dimensional evaluation representation are studied. The integral formulae deri…
The Space of Local Fields as a Module over the Ring of Local Integrals of Motion
Atsushi Nakayashiki
The chiral space of local fields in Sine-Gordon or the SU(2)-invariant Thirring model is studied as a module over the commutative algebra D of local integrals of motion. Using the…
The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model
Atsushi Nakayashiki
The space of local operators in the SU(2) invariant Thirring model (SU(2) ITM) is studied by the form factor bootstrap method. By constructing sets of form factors explicitly we de…
Residues of q-Hypergeometric Integrals and Characters of Affine Lie Algebras
Atsushi Nakayashiki
We study certain subspaces of solutions to the sl_2 rational qKZ equation at level zero. Each subspace is specified by the vanishing of the residue at a certain divisor which stems…
Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation
Atsushi Nakayashiki
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 func…
Integral and Theta Formulae for Solutions of Sl_N Knizhnik-Zamolodchikov Equations at Level Zero
Atsushi Nakayashiki
The solutions of the sl_N Knizhnik-Zamolodchikov(KZ) equations at level 0 are studied. We present the integral formula which is obtained as a quasi-classical limit of the integral…