Wonder of sine-Gordon $Y$-systems

DOI10.1090/tran/6505zbMath1375.13040arXiv1212.6853OpenAlexW2963030239WikidataQ57430405 ScholiaQ57430405MaRDI QIDQ2796079

Salvatore Stella, Tomoki Nakanishi

Publication date: 23 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6853

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cluster algebras (13F60)

Related Items (4)

Cluster algebras and continued fractions ⋮ Wonder of sine-Gordon $Y$-systems ⋮ Difference equations arising from cluster algebras ⋮ Popcorn Drude weights from quantum symmetry

Cites Work

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• Diagrammatic description of \(c\)-vectors and \(d\)-vectors of cluster algebras of finite type
• Dilogarithm identities for sine-Gordon and reduced sine-Gordon Y-systems
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Cluster algebras. II: Finite type classification
• \(Y\)-systems and generalized associahedra
• Cluster algebras and Weil-Petersson forms
• Thermodynamic Bethe ansatz and dilogarithm identities. I.
• The periodicity conjecture for pairs of Dynkin diagrams
• Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. I: Type \(B_r\)
• Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. II: Types \(C_r, F_4\), and \(G_2\)
• FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
• THE SINE-GORDON MODEL AS $\mathcal{SO}(2n)_{1} \times \mathcal{SO}(2n)_{1} \over \mathcal{SO}(2n)_{2}$-PERTURBED COSET THEORY AND GENERALIZATIONS
• THERMODYNAMIC BETHE ANSATZ AND THREE-FOLD TRIANGULATIONS
• Cluster algebras I: Foundations
• Wonder of sine-Gordon $Y$-systems
• Dilogarithm identities for conformal field theories and cluster algebras: Simply laced case
• Cluster algebras, quiver representations and triangulated categories
• Cluster algebras via cluster categories with infinite-dimensional morphism spaces
• Cluster algebras IV: Coefficients
• Quivers with potentials and their representations II: Applications to cluster algebras
• Periodicities in cluster algebras and dilogarithm identities
• Functional Identities for the Rogers Dilogarithm Associated to Cluster Y -Systems

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