Free field resolutions in affine Toda field theories

Boris Feigin; Edward Frenkel

doi:10.1016/0370-2693(92)90544-E

Free field resolutions in affine Toda field theories

Boris Feigin^*
, Edward Frenkel

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

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 Kac-Moody algebra modulo the Coxeter number.

Original language	English
Pages (from-to)	79-86
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	276
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(92)90544-E
State	Published - 6 Feb 1992
Externally published	Yes

Access to Document

10.1016/0370-2693(92)90544-E

Cite this

@article{66862797049149f79d9c7c95c1dd1098,

title = "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 Kac-Moody algebra modulo the Coxeter number.",

author = "Boris Feigin and Edward Frenkel",

year = "1992",

month = feb,

day = "6",

doi = "10.1016/0370-2693(92)90544-E",

language = "אנגלית",

volume = "276",

pages = "79--86",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "1-2",

}

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 - https://www.scopus.com/pages/publications/0002243851

U2 - 10.1016/0370-2693(92)90544-E

DO - 10.1016/0370-2693(92)90544-E

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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 -

Free field resolutions in affine Toda field theories

Abstract

Access to Document

Other files and links

Fingerprint

Cite this