A large class of 2D conformal field theories with extended Virasoro algebras related to the GKO construction on the coset SU(2)⊗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.
Ravanini, F. (1988). AN INFINITE CLASS OF NEW CONFORMAL FIELD-THEORIES WITH EXTENDED ALGEBRAS. MODERN PHYSICS LETTERS A, 3(4), 397-412 [10.1142/S0217732388000490].
AN INFINITE CLASS OF NEW CONFORMAL FIELD-THEORIES WITH EXTENDED ALGEBRAS
RAVANINI, F
Primo
1988
Abstract
A large class of 2D conformal field theories with extended Virasoro algebras related to the GKO construction on the coset SU(2)⊗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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
