We investigate the possibility to construct extended parafermionic conformal algebras whose generating current has spin 1 + 1/K, generalizing the superconformal (spin 3/2) and the Fateev-Zamolodchikov (spin 4/3) algebras. Models invariant under such algebras would possess Z(K) exotic supersymmetries satisfying (supercharge)K = (momentum). However, we show that for K = 4 this new algebra allows only for models at c = 1, for K = 5 it is a trivial rephrasing of the ordinary Z5 parafermionic model, for K = 6,7 (and, requiring unitarity, for all larger K) such algebras do not exist. Implications of this result for existence of exotic supersymmetry in two-dimensional field theory are discussed.
Ravanini, F. (1992). ON THE POSSIBILITY OF ZN EXOTIC SUPERSYMMETRY IN 2-DIMENSIONAL CONFORMAL FIELD-THEORY. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 7(20), 4949-4963 [10.1142/S0217751X92002246].
ON THE POSSIBILITY OF ZN EXOTIC SUPERSYMMETRY IN 2-DIMENSIONAL CONFORMAL FIELD-THEORY
Ravanini Francesco
1992
Abstract
We investigate the possibility to construct extended parafermionic conformal algebras whose generating current has spin 1 + 1/K, generalizing the superconformal (spin 3/2) and the Fateev-Zamolodchikov (spin 4/3) algebras. Models invariant under such algebras would possess Z(K) exotic supersymmetries satisfying (supercharge)K = (momentum). However, we show that for K = 4 this new algebra allows only for models at c = 1, for K = 5 it is a trivial rephrasing of the ordinary Z5 parafermionic model, for K = 6,7 (and, requiring unitarity, for all larger K) such algebras do not exist. Implications of this result for existence of exotic supersymmetry in two-dimensional field theory are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
