Twining characters, orbit Lie algebras, and fixed point resolution

1995/11/27 by Fuchs, J"urgen, Schellekens, Bert, Schweigert, Christoph
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9511026

Abstract

We describe the resolution of field identification fixed points in coset conformal field theories in terms of representation spaces of the coset chiral algebra. A necessary ingredient from the representation theory of Kac Moody algebras is the recently developed theory of twining characters and orbit Lie algebras, as applied to automorphisms representing identification currents.

Related

• Fixed point resolution in conformal field theory
• Twining characters and orbit Lie algebras
• Algebraic Conformal Field Theories II
• Coadjoint Orbits and Conformal Field Theory
• Twining characters and Picard groups in rational conformal field theory