TWO CHARACTER FORMULAS FOR $\widehat{\mathfrak{sl}}_2$ SPACES OF COINVARIANTS

DOI10.1142/S0217751X04020361zbMath1080.81531arXivmath/0211354MaRDI QIDQ3370313

Michio Jimbo, Sergey Loktev, Boris L. Feigin, Tetsuji Miwa

Publication date: 7 February 2006

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211354

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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A functional model for the tensor product of level \(1\) highest and level \(-1\) lowest modules for the quantum affine algebra \(U_q(\widetilde{\mathfrak{sl}}_2)\), A monomial basis for the Virasoro minimal series \(M(p,p')\): the case \(1<p'/p<2\)

Cites Work

• Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
• Inhomogeneous lattice paths, generalized Kostka polynomials and \(A_{n-1}\) supernomials
• Combinatorics of the \(\widehat{\mathfrak {sl}}_2\) spaces of coinvariants