A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators
DOI10.1016/j.nuclphysb.2019.114747zbMath1435.81102arXiv1907.07868OpenAlexW2959488417MaRDI QIDQ2186349
Publication date: 9 June 2020
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07868
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Superalgebras (17A70) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Yang-Baxter equations (16T25)
Related Items (7)
Cites Work
- Unnamed Item
- Q-operators for the open Heisenberg spin chain
- Baxter Q-operators and representations of Yangians
- Oscillator construction of \(\mathfrak{su}(n|m)\) \(Q\)-operators
- Solutions of the T-system and Baxter equations for supersymmetric spin chains
- On Drinfeld's realization of quantum affine algebras
- Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
- Hall polynomials, inverse Kostka polynomials and puzzles
- Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator
- Asymptotic representations and \(q\)-oscillator solutions of the graded Yang-Baxter equation related to Baxter Q-operators
- Baxter's Q-operators for supersymmetric spin chains
- Universal \(R\)-matrix for quantized (super)algebras
- Quantum Lie superalgebras and q-oscillators
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold
- \(q\)-difference realization of \(U_q(sl(M|N))\) and its application to free boson realization of \(U_q(\widehat{sl}(2|1))\)
- Asymptotic representations of quantum affine superalgebras
- Integrable light-cone lattice discretizations from the universal \(\text{R}\)-matrix
- Asymptotic representations of augmented \(q\)-Onsager algebra and boundary \(K\)-operators related to Baxter Q-operators
- The Hopf algebra \(\text{Rep\,} U_q \widehat{\mathfrak g\mathfrak l}_\infty\)
- On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
- A bosonization of \(U_q\left(\widehat{sl}(M| N)\right)\)
- The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams
- The half-infinite XXZ chain in Onsager's approach
- On the Yang-Baxter equation for the six-vertex model
- \(\mathcal R\)-matrix and Baxter \(\mathcal Q\)-operators for the noncompact \(\mathrm{SL}(N,\mathbb C)\) invariant spin chain
- Hidden Grassmann structure in the \(XXZ\) model
- Partition function of the eight-vertex lattice model
- Multiparameter quantum groups and twisted quasitriangular Hopf algebras
- RTT Realization of Quantum Affine Superalgebras and Tensor Products
- Exercises with the universalR-matrix
- Asymptotic representations and Drinfeld rational fractions
- Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras
- Matrix product formula for Macdonald polynomials
- Baxter'sQ-operator for theW-algebraWN
- THE AUGMENTED TRIDIAGONAL ALGEBRA
- General solution of the Yang–Baxter equation with symmetry group $\mathrm {SL}(\mathit {n},\mathbb {C})$
- A Holstein-Primakoff and a Dyson realization for the quantum algebra
- Universal L operator and invariants of the quantum supergroup U q (gl(m/n))
- Comments on the Drinfeld realization of the quantum affine superalgebra and its Hopft algebra structure
- Quantum groups, Verma modules andq-oscillators: general linear case
- On diagonal solutions of the reflection equation
- The universalR-matrix and factorization of the L-operators related to the Baxter Q-operators
- A QUANTIZATION OF BOX-BALL SYSTEMS
- Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory
This page was built for publication: A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators