06-37.pdf (251.83 kB)
Download file

Polynomial solutions of the Knizhnik–Zamolodchikov equations and Schur–Weyl duality

Download (251.83 kB)
preprint
posted on 16.11.2006, 11:44 by G. Felder, Alexander VeselovAlexander Veselov
An integral formula for the solutions of Knizhnik-Zamolodchikov (KZ) equation with values in an arbitrary irreducible representation of the symmetric group SN is presented for integer values of the parameter. The corresponding integrals can be computed effectively as certain iterated residues determined by a given Young diagram and give polynomials with integer coefficients. The derivation is based on Schur-Weyl duality and the results of Matsuo on the original SU(n) KZ equation. The duality between the spaces of solutions with parameters m and −m is discussed in relation with the intersection pairing in the corresponding homology groups.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

257878 bytes

Publication date

2006

Notes

This is a pre-print.

Language

en

Usage metrics

Keywords

Exports