Path representation of \(\hat{su}(2)_k\) states. I: Operators and particles for \(k=1,2\)
From MaRDI portal
Publication:632128
DOI10.1016/j.nuclphysb.2010.11.019zbMath1207.81145arXiv1010.2462OpenAlexW1825590801MaRDI QIDQ632128
Pierre Mathieu, Joël Lamy-Poirier
Publication date: 14 March 2011
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.2462
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)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
- A bijection between paths for the \({\mathcal M}(p, 2p + 1)\) minimal model Virasoro characters
- Path representation of \(\hat{su}(2)_k\) states. II: Operator construction of the fermionic character and spin-\(\frac{1}{2}\)-RSOS factorization
- Conformal field theory
- The extended algebra of the \(\text SU(2)\) Wess-Zumino-Witten models
- A \(\phi_{1,3}\)-filtration of the Virasoro minimal series \(M(p,p')\) with \(1<p'/p<2\)
- Fermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models
- Identities in combinatorics. III: Further aspects of ordered set sorting
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- Kac-Moody algebras, conformal symmetry and critical exponents
- Current algebras and Wess-Zumino model in two dimensions
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
- Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras
- The many faces of a character
- Spinons in conformal field theory
- Fermionic solution of the Andrews-Baxter-Forrester model. I: Unification of TBA and CTM methods.
- Exactly solvable SOS models. Local height probabilities and theta function identities
- A new realization of the basic representation of \(A_ n^{(1)}\)
- One-dimensional configuration sums in vertex models and affine Lie algebra characters
- Crystallizing the spinon basis
- Spectral decomposition of path space in solvable lattice model
- Fermionic sum representations for conformal field theory characters
- The extended algebra of the minimal models
- FERMIONIC CHARACTER SUMS AND THE CORNER TRANSFER MATRIX
- Fermionic expressions for minimal model Virasoro characters
- A nonlocal operator basis from the path representation of the {\cal M}(k+1\hbox{,}\,k+2) and the {\cal M}(k+1\hbox{,}\,2k+3) minimal models
- Paths and partitions: Combinatorial descriptions of the parafermionic states
- Particles in RSOS paths
- Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
- Physical combinatorics and quasiparticles
This page was built for publication: Path representation of \(\hat{su}(2)_k\) states. I: Operators and particles for \(k=1,2\)
