Deformed Calogero-Sutherland model and fractional quantum Hall effect
From MaRDI portal
Publication:2963278
DOI10.1063/1.4973509zbMath1355.81188arXiv1603.06157OpenAlexW2309465525MaRDI QIDQ2963278
Publication date: 13 February 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.06157
Many-body theory; quantum Hall effect (81V70) Topological field theories in quantum mechanics (81T45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Formal methods and deformations in algebraic geometry (14D15)
Related Items (7)
Quasi-exact solvability and entropies of the one-dimensional regularised Calogero model ⋮ New orthogonality relations for super-Jack polynomials and an associated Lassalle-Nekrasov correspondence ⋮ Photon added coherent states of the parity deformed oscillator ⋮ Super-Macdonald polynomials: orthogonality and Hilbert space interpretation ⋮ Laughlin states and gauge theory ⋮ Orthogonality of super‐Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators ⋮ From Kajihara's transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sekiguchi-Debiard operators at infinity
- Conformal blocks in Virasoro and W theories: Duality and the Calogero-Sutherland model
- Source identity and kernel functions for elliptic Calogero-Sutherland type systems
- Correspondence between conformal field theory and Calogero-Sutherland model
- A unified construction of generalized classical polynomials associated with operators of Calogero-Sutherland type
- On fermionic gauge groups, current algebras and Kac-Moody algebras
- Loop groups, anyons and the Calogero-Sutherland model
- Collective field theory, Calogero-Sutherland model and generalized matrix models
- Calogero operator and Lie superalgebras
- Deformed quantum Calogero-Moser problems and Lie superalgebras
- Dynamical correlation functions in the Calogero-Sutherland model
- Anyon basis of \(c=1\) conformal field theory
- Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials
- Some combinatorial properties of Jack symmetric functions
- Second quantization of the elliptic Calogero-Sutherland model
- Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra
- Algorithms to solve the (quantum) Sutherland model
- Quantum integrability of the deformed elliptic Calogero–Moser problem
- Construction by bosonization of a fermion-phonon model
- Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model
- New integrable generalizations of Calogero–Moser quantum problem
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
This page was built for publication: Deformed Calogero-Sutherland model and fractional quantum Hall effect