Fermionic spectra in integrable models

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This is a brief review of several algebraic constructions related to generalized fermionic spectra, of the type which appear in integrable quantum spin chains and integrable quantum field theories. We discuss the connection between fermionic formulas for the graded dimensions of the spaces of conformal blocks of WZW theories, quantum cluster algebras, discrete integrable noncommutative evolutions and difference equations.
Original languageEnglish (US)
Title of host publicationProceedings of the International Congress of Mathematicians---Seoul 2014. Vol. III
PublisherKyung Moon Sa, Seoul
Number of pages18
StatePublished - 2014


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