Exponents associated with \(Y\)-systems and their relationship with \(q\)-series
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Publication:2176557
DOI10.3842/SIGMA.2020.028zbMath1439.13057arXiv1812.05863MaRDI QIDQ2176557
Publication date: 5 May 2020
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05863
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Cluster algebras (13F60) Root systems (17B22)
Cites Work
- Unnamed Item
- Unnamed Item
- Nahm's conjecture and \(Y\)-systems
- Nahm's conjecture: asymptotic computations and counterexamples
- Fermionic expressions for the characters of \(c_{p,1}\) logarithmic conformal field theories
- Hall-Littlewood polynomials and characters of affine Lie algebras
- Infinite-dimensional Lie algebras, theta functions and modular forms
- Modular and conformal invariance constraints in representation theory of affine algebras
- Lie algebra deformations and character formulas
- \(Y\)-systems and generalized associahedra
- Identities for the Rogers dilogarithm function connected with simple Lie algebras
- Functional models of the representations of current algebras and semi-infinite Schubert cells
- Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
- 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 \(G_2\)
- Quiver mutation loops and partition \(q\)-series
- On the KNS conjecture in type \(E\)
- Admissible \(W\)-graphs and commuting Cartan matrices
- Jacobian matrices of Y-seed mutations
- Nahm sums, stability and the colored Jones polynomial
- Positivity and periodicity of \(Q\)-systems in the WZW fusion ring
- SPECTRA IN CONFORMAL FIELD THEORIES FROM THE ROGERS DILOGARITHM
- DILOGARITHM IDENTITIES IN CONFORMAL FIELD THEORY
- CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ
- DILOGARITHM IDENTITIES, FUSION RULES AND STRUCTURE CONSTANTS OF CFTs
- Cluster algebras I: Foundations
- N = 2 theories from cluster algebras
- Dilogarithm identities for conformal field theories and cluster algebras: Simply laced case
- T-systems andY-systems in integrable systems
- Dedekind's η-function and Rogers-Ramanujan identities
- The Dilogarithm Function
- Cluster algebras IV: Coefficients
- A proof of the KNS conjecture:Drcase
- The classification of Zamolodchikov periodic quivers
- Proof of the Flohr–Grabow–Koehn conjectures for characters of logarithmic conformal field theory
- Periodicities in cluster algebras and dilogarithm identities
- Bloch groups, algebraic $K$-theory, units, and Nahm's Conjecture
