Boson-fermion correspondence, QQ-relations and Wronskian solutions of the T-system

DOI10.1016/j.nuclphysb.2021.115563zbMath1483.81086arXiv2106.08931OpenAlexW3203655634MaRDI QIDQ2238006

Zengo Tsuboi

Publication date: 28 October 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08931

zbMATH Keywords

representations of superalgebras and ordinary non-graded algebras

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items

Transfer matrices of rational spin chains via novel BGG-type resolutions ⋮ Form-factors and complete basis of observables via separation of variables for higher rank spin chains ⋮ Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

Cites Work

• Unnamed Item
• Unnamed Item
• Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains
• From characters to quantum (super)spin chains via fusion
• Wronskian solution for AdS/CFT Y-system
• Oscillator construction of \(\mathfrak{su}(n|m)\) \(Q\)-operators
• Conformal weights of RSOS lattice models and their fusion hierarchies
• Solutions of the T-system and Baxter equations for supersymmetric spin chains
• Classical tau-function for quantum spin chains
• Solitons and infinite dimensional Lie algebras
• Asymptotic representations and \(q\)-oscillator solutions of the graded Yang-Baxter equation related to Baxter Q-operators
• Baxter's relations and spectra of quantum integrable models
• Baxter's Q-operators for supersymmetric spin chains
• Structure of basic Lie superalgebras and of their affine extensions
• Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras
• Integrable structure of conformal field theory. III: The Yang-Baxter relation
• Quantum integrable models and discrete classical Hirota equations
• A determinantal formula for supersymmetric Schur polynomials
• T-system on T-hook: Grassmannian solution and twisted quantum spectral curve
• Asymptotic representations of quantum affine superalgebras
• Analytic Bethe ansatz for fundamental representations of Yangians
• Wronskian solutions of the T-, Q- and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra \(gl(M|N)\)
• Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
• A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators
• Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras
• Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics
• Partition function of the eight-vertex lattice model
• Discrete Miura opers and solutions of the Bethe ansatz equations
• Families of solutions of the nested Bethe ansatz for theA₂spin chain
• Differential equations for generalSU(n) Bethe ansatz systems
• FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
• Symmetrizable quantum affine superalgebras and their representations
• Representations of quantum affine algebras of type $B_N$
• T-systems andY-systems in integrable systems
• Asymptotic representations and Drinfeld rational fractions
• The Kirillov-Reshetikhin conjecture and solutions of T-systems
• Restricted solid-on-solid models connected with simply laced algebras and conformal field theory
• Analytic Bethe ansatz related to a one-parameter family of finite-dimensional representations of the Lie superalgebra
• Pfaffian and determinant solutions to a discretized Toda equation for , and
• Analytic Bethe ansatz and functional equations for Lie superalgebra
• Quantum Jacobi-Trudi and Giambelli formulae for U_q(B_r⁽¹⁾) from the analytic Bethe ansatz
• Solutions of a discretized Toda field equation for from analytic Bethe ansatz
• Difference L operators and a Casorati determinant solution to the T-system for twisted quantum affine algebras
• DifferenceLoperators related toq-characters
• Functional relations and analytic Bethe ansatz for twisted quantum affine algebras
• Analytic Bethe ansatz and functional relations related to tensor-like representations of type-II Lie superalgebrasB(r|s) andD(r|s)
• Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian
• The BaxterQ-operator for the gradedSL(2|1) spin chain
• Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.