A large class of fusion algebras, isomorphic to rings of orlhogonal polynomials in one real variable, is studied. It includes all SU(2) WZW and all minimal model fusion algebras. All the algebras in this class having structure constants limited to 0 or I are classified. Two series consistent with both modular and duality constraints are found. Numerical searches for structure constants also larger than 1 seem to indicate that the whole classification is exhausted by the two aforementioned series and an additional one. Relations of these structures with the SU(2) group are discussed.
Caselle, M., Ponzano, G., Ravanini, F. (1990). ORTHOGONAL-POLYNOMIAL STRUCTURES AND FUSION ALGEBRAS OF RATIONAL CONFORMAL FIELD-THEORIES. PHYSICS LETTERS. SECTION B, 251(2), 260-265 [10.1016/0370-2693(90)90933-W].
ORTHOGONAL-POLYNOMIAL STRUCTURES AND FUSION ALGEBRAS OF RATIONAL CONFORMAL FIELD-THEORIES
RAVANINI, F
1990
Abstract
A large class of fusion algebras, isomorphic to rings of orlhogonal polynomials in one real variable, is studied. It includes all SU(2) WZW and all minimal model fusion algebras. All the algebras in this class having structure constants limited to 0 or I are classified. Two series consistent with both modular and duality constraints are found. Numerical searches for structure constants also larger than 1 seem to indicate that the whole classification is exhausted by the two aforementioned series and an additional one. Relations of these structures with the SU(2) group are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
