Free field resolutions in affine Toda field theories
Abstract
We construct free field resolutions for the local integrals of motion in the quantum affine Toda field theory. They are closely related to the BGG type resolution of the trivial representation of the corresponding affine quantum group. We prove the existence of an infinite number of mutually commuting integrals of motion, whose spins are equal to the exponents of the corresponding affine KacMoody algebra modulo the Coxeter number.
 Publication:

Physics Letters B
 Pub Date:
 February 1992
 DOI:
 10.1016/03702693(92)90544E
 Bibcode:
 1992PhLB..276...79F