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Title: An infinite class of new conformal field theories with extended algebras

Journal Article · · Mod. Phys. Letters B; (United States)

A large class of 2D conformal field theories with extended Virasoro algebras related to the GKO construction on the coset SU(2) circle times SU(2)/SU(2) is introduced. Through a Feigin-Fuchs construction the Kac formula is deduced. Characters of the highest-weight irreducible representations are given in terms of the GKO decomposition branching functions. Modular invariant partition functions are constructed and an A-D-E classification based on a triple of simply-laced Lie algebras is analyzed in detail.

Research Organization:
Nordita-Blegdamsvej 17-2100 Copenhagen 0 (DK)
OSTI ID:
6699976
Journal Information:
Mod. Phys. Letters B; (United States), Vol. 3:4
Country of Publication:
United States
Language:
English