FREE-FIELD REPRESENTATION OF GROUP ELEMENT FOR SIMPLE QUANTUM GROUPS
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Publication:4259532
DOI10.1142/S0217751X9800072XzbMath0980.17007arXivhep-th/9409093MaRDI QIDQ4259532
Publication date: 5 September 1999
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9409093
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Related Items (10)
Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations ⋮ On skew tau-functions in higher spin theory ⋮ On the Hopf structure of \(U_{p,q}(\text{gl}(1| 1))\) and the universal \(\mathcal{T}\)-matrix of \(\text{Fun}_{p,q}(\text{GL}(1| 1))\) ⋮ Nonstandard KP evolution and the quantum \(\tau\)-function ⋮ Intertwining operators and Hirota bilinear equations ⋮ Quantum exponentials for the modular double and applications in gravity models ⋮ Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix ⋮ Free field representation of \(\text{osp}(2|1)\) and \(\text{U}_q(\text{osp}(2|1))\) and \(N=1\) \((q\)-)superstring correlation functions ⋮ UNIFIED DESCRIPTION OF CORRELATORS IN NON-GAUSSIAN PHASES OF HERMITIAN MATRIX MODEL ⋮ Group theory approach to the \(\tau\)-function and its quantization
Cites Work
- Abelian current algebra and the Virasoro algebra on the lattice
- An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- The dual of a quantum group
- q-HYPERGEOMETRIC FUNCTIONS IN THE FORMALISM OF FREE FIELDS
- Uq(sl(n)) DIFFERENCE OPERATOR REALIZATION
- GENERALIZED HIROTA EQUATIONS AND REPRESENTATION THEORY I: THE CASE OF SL(2) AND SLq(2)
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