LIE GROUP WEIGHT MULTIPLICITIES FROM CONFORMAL FIELD-THEORY

Authors
GANNON T JAKOVLJEVIC C WALTON MA
Citation
T. Gannon et al., LIE GROUP WEIGHT MULTIPLICITIES FROM CONFORMAL FIELD-THEORY, Journal of physics. A, mathematical and general, 28(9), 1995, pp. 2617-2625
Citations number
25
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
9
Year of publication
1995
Pages
2617 - 2625
Database
ISI
SICI code
0305-4470(1995)28:9<2617:LGWMFC>2.0.ZU;2-S
Abstract
Dominant-weight multiplicities of simple Lie groups are expressed in t erms of the modular matrices of Wess-Zumino-Witten conformal field the ories, and related objects. Symmetries of the modular matrices give ri se to new relations among multiplicities. At least for some Lie groups , these new relations are strong enough to completely fix all multipli cities.