Spinons in conformal field theory
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Publication:1337091
DOI10.1016/0550-3213(94)90366-2zbMath0876.17033arXivhep-th/9404050OpenAlexW3105019259MaRDI QIDQ1337091
Publication date: 28 October 1994
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9404050
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 (30)
Infinite Dimensional Matrix Product States for Long-Range Quantum Spin Models ⋮ Yangian-invariant field theory of matrix-vector models ⋮ Collective field theory of the matrix-vector models ⋮ An integrable \(U_q(\widehat{gl}(2|2))\)-model: corner transfer matrices and Young skew diagrams ⋮ A quasi-particle description of the \(\mathcal M(3,p)\) models ⋮ Dynamical correlation functions and finite-size scaling in the Ruijsenaars-Schneider model ⋮ Semi-infinite wedges and the conformal limit of the fermionic Calogero-Sutherland model with spin \(1\over 2\) ⋮ Crystallizing the spinon basis ⋮ Exact operator solution of the Calogero-Sutherland model ⋮ Relating \(c<0\) and \(c>0\) conformal field theories ⋮ Spectral decomposition of path space in solvable lattice model ⋮ The extended algebra of the \(\text SU(2)\) Wess-Zumino-Witten models ⋮ Toroidal actions on level 1 modules of \(U_q(\widehat{sl}_n)\) ⋮ Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace ⋮ Path representation of \(\hat{su}(2)_k\) states. I: Operators and particles for \(k=1,2\) ⋮ Path representation of \(\hat{su}(2)_k\) states. II: Operator construction of the fermionic character and spin-\(\frac{1}{2}\)-RSOS factorization ⋮ Finite-difference representations of the degenerate affine Hecke algebra ⋮ Parafermionic quasi-particle basis and fermionic-type characters ⋮ Thermodynamics and criticality of supersymmetric spin chains with long-range interactions ⋮ Physical combinatorics and quasiparticles ⋮ The \(SU(n)_1\) WZW models. Spinon decomposition and Yangian structure ⋮ On thermodynamic approaches to conformal field theory ⋮ Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions ⋮ Character formulae of \(\widehat{\text{sl}}_n\)-modules and inhomogeneous paths ⋮ Hamiltonian formulation of the \(W_{1+\infty}\) minimal models ⋮ Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories ⋮ Non-abelian exclusion statistics. ⋮ Supersymmetric Polychronakos spin chain: motif, distribution function, and character ⋮ Exclusion statistics in conformal field theory and the UCPF for WZW models. ⋮ Graded parafermions: Standard and quasiparticle bases
Cites Work
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- Basic representations of affine Lie algebras and dual resonance models
- Unitary representations of some infinite dimensional groups
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- Crystalizing the q-analogue of universal enveloping algebras
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- Yang-Baxter equation in long-range interacting systems
- ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
- Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
- Exchange operator formalism for integrable systems of particles
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