Fermionic spectra in integrable systems
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Publication:5371338
zbMATH Open1373.81233arXiv1405.5585MaRDI QIDQ5371338
Publication date: 25 October 2017
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1405.5585
Combinatorial aspects of representation theory (05E10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23)
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