Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory

Journal Article · Mon Oct 05 00:00:00 EDT 1992 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.69.2021· OSTI ID:7158375

Haldane, F D.M.; Ha, Z N.C.; Talstra, J C; Bernard, D; Pasquier, V ^[1]

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1. Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States) Laboratoire de Physique Theorique, Ecole Normale Superieure, 24 rue Lhomond, 75231 Paris CEDEX 05 (France) Service de Physique Theorique, Centre d'Etudes Nucleaires de Saclay, 91191 Gif sur Yvette (France)

The SU({ital n}) quantum chains with inverse-square exchange exhibit a novel form of Yangian symmetry compatible with periodic boundary conditions, allowing states to be countable. We characterize the supermultiplets'' of the spectrum in terms of generalized occupation numbers.'' We embed the model in the {ital k}=1 SU({ital n}) Kac-Moody algebra and obtain a new classification of the states of conformal field theory, adapted to particlelike elementary excitations obeying fractional statistics.

• OSTI ID: 7158375
• Journal Information: Physical Review Letters; (United States), Vol. 69:14; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
SYMMETRY
BOUNDARY CONDITIONS
CALCULATION METHODS
CONFORMAL INVARIANCE
GROUP THEORY
SU-2 GROUPS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICS
SU GROUPS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)