TY - JOUR
T1 - Free field resolutions in affine Toda field theories
AU - Feigin, Boris
AU - Frenkel, Edward
PY - 1992/2/6
Y1 - 1992/2/6
N2 - 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 Kac-Moody algebra modulo the Coxeter number.
AB - 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 Kac-Moody algebra modulo the Coxeter number.
UR - http://www.scopus.com/inward/record.url?scp=0002243851&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(92)90544-E
DO - 10.1016/0370-2693(92)90544-E
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AN - SCOPUS:0002243851
SN - 0370-2693
VL - 276
SP - 79
EP - 86
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -