Diagonalization of the \(XXZ\) Hamiltonian by vertex operators

From MaRDI portal

Publication:1208020

Jump to:navigation, search

DOI10.1007/BF02096750zbMath0769.17020arXivhep-th/9204064OpenAlexW3105831184MaRDI QIDQ1208020

Publication date: 16 May 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9204064

zbMATH Keywords

quantum affine algebra vertex operator spin chain crystal bases XXZ Hamiltonian

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Exactly solvable models; Bethe ansatz (82B23)

Related Items

A generating function associated with the alternating elements in the positive part of U_q(sl^2), ON THE CONSTRUCTION OF CORRELATION FUNCTIONS FOR THE INTEGRABLE SUPERSYMMETRIC FERMION MODELS, Using a q-shuffle algebra to describe the basic module V(Λ_0) for the quantized enveloping algebra Uq(sl^2), Universal terms in the overlap of the ground state of the spin-1/2 XXZ chain with the Néel state, Hilbert schemes, Verma modules and spectral functions of hyperbolic geometry with application to quantum invariants, Lukyanov's screening operators for the deformed Virasoro algebra, Diagonalization of transfer matrix of supersymmetry $U_{q}(\widehat{sl}(M+1|N+1))$Uq(sl̂(M+1|N+1)) chain with a boundary, Angular quantization and form factors in massive integrable models, Angular quantization and form factors in massive integrable models, On the vertex operators of the elliptic quantum algebra Uq,p(sl2̂)k, The Yang–Baxter paradox, Free boson realization of \(U_ q(\widehat{sl_ N} )\), The \(U_q(\overline{\text{sl}}(2| 1))_1\)-module \(V(\Lambda_2)\) and a corner transfer matrix at \(q=0\), Infinite Dimensional Matrix Product States for Long-Range Quantum Spin Models, FORM FACTORS OF THE SU(2) INVARIANT MASSIVE THIRRING MODEL WITH BOUNDARY REFLECTION, Asymptotic behaviour of two-point functions in multi-species models, Quantum affine algebras and universal \(R\)-matrix with spectral parameter, A quantum analog of the 𝒵 algebra, Quantum \(R\)-matrix and intertwiners for the Kashiwara algebra, Staggered polarization of vertex models with \(U_ q(\widehat {sl}(n))\)- symmetry, An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\), Free field representation for massive integrable models, Hopf algebra extension of a Zamolochikov algebra and its double, EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF $U_q (\widehat{{\rm sl}_2})$, A representation basis for the quantum integrable spin chain associated with the \(su(3)\) algebra, Boundary ABF models, Lattice models, deformed Virasoro algebra and reduction equation, The spectral problem for the \(q\)-Knizhnik-Zamolodchikov equation and continuous \(q\)-Jacobi polynomials, Exact four-spinon dynamical correlation function of the Heisenberg model, Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets, Commutation relations of vertex operators for Uq(sl^(M|N)), On the quantum affine superalgebra \(U_q(\widehat{\text{gl}}(2|2))\) at level one, Vertex operators of level-one \(\text{U}_q(B_n^{(1)})\)-modules, Drinfeld comultiplication and vertex operators, Form-factors of exponential fields in the affine \(A^{(1)}_{N-1}\) Toda model, Particle-field duality and form factors from vertex operators, Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\), Quantum spin chains with quantum group symmetry, Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry, Vertex operators in solvable lattice models, Fusion of the \(q\)-vertex operators and its application to solvable vertex models, An integrable \(U_q(\widehat{gl}(2|2))\)-model: corner transfer matrices and Young skew diagrams, A new (in)finite-dimensional algebra for quantum integrable models, The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism, A \(U_q(\widehat{gl}(2|2))_1\)-vertex model: creation algebras and quasi-particles. I, \(q\)-deformed Grassmann fields and the two-dimensional Ising model, On the bosonization of \(L\)-operators for the quantum affine algebra \(U_ q ({\mathfrak {sl}}_ 2)\), Intertwining operators and Hirota bilinear equations, Multi-point local height probabilities in the integrable RSOS model, Free field construction for correlation functions of the eight-vertex model, Crystallizing the spinon basis, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Unnamed Item, Reflection algebra and functional equations, Path representation of \(\hat{su}(2)_k\) states. I: Operators and particles for \(k=1,2\), Quantum integrability in systems with finite number of levels, Creation/annihilation operators and form factors of the \(XXZ\) model, Yang-Baxter symmetry in integrable models: New light from the Bethe ansatz solution, Low-temperature thermodynamics of \(A^{(2)}_ 2\) and \(\text{su}(3)\)-invariant integrable spin chains., Representations of the Virasoro algebra from lattice models., \(N\)-point correlation functions of the spin-\(1\) \(XXZ\) model, Intertwining operators for the central extension of the Yangian double., The idempotents of the TL\(_n\)-module \(\otimes^n\mathbb C2\) in terms of elements of \(\mathrm{U}_q\mathfrak{sl}_2\), Correlation functions and the boundary qKZ equation in a fractured XXZ chain, Emptiness formation probability, Toeplitz determinants, and conformal field theory, Form factors of the half-infinite XXZ spin chain with a triangular boundary, Connected correlations, fluctuations and current of magnetization in the steady state of boundary driven XXZ spin chains, Diagonal solutions to reflection equations in higher spin models, Vertex operators of Uq[gl(N∧|N) and highest weight representations of Uq[gl(2|∧2)]], U q [sl (2| ∧ 1) vertex operators, screen currents, and correlation functions at an arbitrary level], Level-one highest weight representation of Uq[sl(N̂|1) and Bosonization of the multicomponent Super t−J model], A family of affine quantum group invariant integrable extensions of the Hubbard Hamiltonian, Expectation values of scaling fields in \(Z_N\) Ising models, Macdonald topological vertices and brane condensates, Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms, Scalar products of the open XYZ chain with non-diagonal boundary terms, Effective field theory and integrability in two-dimensional Mott transition, Drinfeld constructions of the quantum affine superalgebra Uq(gl(m/n̂)), Determinant representations of correlation functions for the supersymmetric \(t\)-\(J\) model, Integrability of the Quantum XXZ Hamiltonian, The elliptic quantum algebra Aq,p(sln∧) and its bosonization at level one, Intertwining operator and integrable hierarchies from topological strings, Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain, Canonical basis and Macdonald polynomials, Zamolodchikov-Faddeev algebras for Yangian doubles at level 1, Level-one highest weight representations of \(U_q[\widehat{gl(1|1)}\) and associated vertex operators], Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series \(M(\nu,\nu+1)\): Exact results, Free-field representation of the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\) and form factors in the higher-spin \(XXZ\) model, \(XXZ\) chain with a boundary, Wave function renormalization constants and one-particle form factors in \(D^{(1)}_l\) Toda field theories, Highest weight representations of \(U_q(\widehat{\text{sl}}(2|1))\) and correlation functions of the \(q\)-deformed supersymmetric \(t\)-\(J\) model, The twisted quantum affine algebra \(U_ q(A^{(2)}_ 2)\) and correlation functions of the Izergin-Korepin model., Quantum integrability in the lab, Correlation functions of finite \(XXZ\) model with boundaries, Magnetization formula in the bounded \(XYZ\) spin chain, New quantum toroidal algebras from 5D \(\mathcal{N} = 1\) instantons on orbifolds, On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain, New $D_{n+1}^{(2)}$ K-matrices with quantum group symmetry, Vertex operators for the central extension of the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\), Vertex operators for twisted quantum affine algebras, Diagonalization of infinite transfer matrix of boundary Uq,p(AN−1(1)) face model, Dynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions, Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N̂|N)], A novel coproduct of su\(_q\)(2) and its relation to \(XXZ\) spin chain model, Izergin-Korepin model with a boundary, Free boson representation of \(q\)-vertex operators and their correlation functions, Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold, TYPE II VERTEX OPERATORS FOR THE $\bm{A_{\lc{n}-1}^{(1)}}$ FACE MODEL, A \(q\)-deformation of Wakimoto modules, primary fields and screening operators, Free boson representation of \(U_ q(\widehat {sl}_ 3)\), An integrable vertex model and the quantum affine algebra \(U_q(\widehat{sl}(2))\) at the critical level

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:1208020&oldid=13275569"