Berenstein-Zelevinsky triangles, elementary couplings, and fusion rules

DOI10.1007/BF00761494zbMath0811.17032arXivhep-th/9301075OpenAlexW2001868645MaRDI QIDQ1310992

L. Begin, Mark A. Walton, Pierre Mathieu, Anatol N. Kirillov

Publication date: 2 May 1995

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9301075

zbMATH Keywords

fusion rulesBerenstein-Zelevinsky trianglesfusion coupling

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (15)

THREE-POINT FUNCTIONS IN CONFORMAL FIELD THEORY WITH AFFINE LIE GROUP SYMMETRY ⋮ A \(k\)-tableau characterization of \(k\)-Schur functions ⋮ Fusion algebras, symmetric polynomials, and \(S_{k}\)-orbits of \(\mathbb Z_N^k\) ⋮ Modular data: the algebraic combinatorics of conformal field theory ⋮ The Triple Reduced Product and Hamiltonian Flows ⋮ PURELY AFFINE ELEMENTARY su(N) FUSIONS ⋮ Remarks on the structure constants of the Verlinde algebra associated to \(sl_ 3\) ⋮ 𝒩-point and higher-genus osp(1|2) fusion ⋮ Generating-function method for tensor products ⋮ Generating-function method for fusion rules ⋮ Spaces of coinvariants and fusion product. I: From equivalence theorem to Kostka polynomials ⋮ On the level-dependence of Wess-Zumino-Witten three-point functions ⋮ Quantum cohomology and the 𝑘-Schur basis ⋮ Fusion multiplicities as polytope volumes: \(N\)-point and higher-genus su(2) fusion ⋮ Gromov-Witten invariants on Grassmannians

Cites Work

• Quantum group interpretation of some conformal field theories
• Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation
• Littlewood-Richardson coefficients for Hecke algebras at roots of unity
• Fusion rules and modular transformations in 2D conformal field theory
• Current algebras and Wess-Zumino model in two dimensions
• $\widehat{{\rm su}}\left( 3 \right)_k $ FUSION COEFFICIENTS
• Generating functions and elementary Young tableaux

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