Higher level WZW sectors from free fermions

DOI10.1063/1.532008zbMath0872.17026arXivhep-th/9602116OpenAlexW3098680149MaRDI QIDQ4339555

Jürgen Fuchs, Jens Böckenhauer

Publication date: 10 June 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9602116

zbMATH Keywords

canonical anticommutation relation algebraaffine Lie algebrassuperselection structureWZW theoriesgauge group of internal symmetriesgauge invariant fermion algebraslevel-two irreducible highest weight moduleslocal algebras of bounded operatorslow-dimensional field theories

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

This page was built for publication: Higher level WZW sectors from free fermions