Abstract
AbstractThe dilogarithm identities for the central charges of conformal field theories of simply laced type were conjectured by Bazhanov, Kirillov, and Reshetikhin. Their functional generalizations were conjectured by Gliozzi and Tateo. They have been partly proved by various authors. We prove these identities in full generality for any pair of Dynkin diagrams of simply laced type based on the cluster algebra formulation of the Y-systems.
Publisher
Cambridge University Press (CUP)
Reference43 articles.
1. Quivers with potentials and their representations II: Applications to cluster algebras
2. Restricted solid-on-solid models connected with simply laced algebras and conformal field theory;Bazhanov;J. Phys.,1990
3. Nonlocal (parafermion) currents in two-dimensional conformal quantum field theory and self-dual critical points in ZN-symmetric statistical systems;Fateev;J. Exp. Theor. Phys.,1985
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