Published February 6, 1992
| Version v1
Journal article
Free field resolutions in affine Toda field theories
Creators
- 1. RIMS, Kyoto Univ. (Japan)
- 2. Landau Inst. for Theoretical Physics, Moscow (USSR)
- 3. Dept. of Mathematics, Harvard Univ., Cambridge, MA (United States)
Description
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. (orig.)
Additional details
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 276
- Journal Issue
- 1/2
- Series
- Phys. Lett., Sect. B.
- Journal Page Range
- 79-86
- ISSN
- 0370-2693
- CODEN
- PYLBA
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 23072754
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CONFORMAL GROUPS; FIELD ALGEBRA; FIELD OPERATORS; FOCK REPRESENTATION; HAMILTONIANS; INTEGRALS; IRREDUCIBLE REPRESENTATIONS; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; LOCALITY; NONLINEAR PROBLEMS; QUANTUM MECHANICS; SCALAR FIELDS; SINE-GORDON EQUATION; U GROUPS; VACUUM STATES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SYMMETRY GROUPS