Generalized KdV and quantum inverse scattering description of conformal minimal models

DOI10.1016/0370-2693(95)01463-2zbMath0909.35118arXivhep-th/9510047OpenAlexW3100401860WikidataQ126550820 ScholiaQ126550820MaRDI QIDQ1906834

Davide Fioravanti, Francesco Ravanini, Marian Stanishkov

Publication date: 23 January 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9510047

zbMATH Keywords

conformal field theoryquantum inverse scatteringgeneralized KdV systemsprimary operators of the minimal models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse scattering problems in quantum theory (81U40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (17)

Central charge and the Andrews–Bailey construction ⋮ QQ-system and non-linear integral equations for scattering amplitudes at strong coupling ⋮ Integrals of motion from TBA and lattice-conformal dictionary ⋮ Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator ⋮ The perturbations \(\phi_{2,1}\) and \(\phi_{1,5}\) of the minimal models \(M(p,p^\prime\)) and the trinomial analogue of Bailey's lemma ⋮ Spectrum of the reflection operators in different integrable structures ⋮ An inhomogeneous Lax representation for the Hirota equation ⋮ Integrable structure of superconformal field theory and quantum super-KdV theory ⋮ Superconformal field theory and SUSY \(N=1\) KdV hierarchy. I: Vertex operators and Yang-Baxter equation. ⋮ Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian ⋮ Quantum field theories in finite volume: Excited state energies ⋮ Three realizations of the quantum affine algebra \(U_{q}(A_{2}^{(2)}\) ⋮ Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory ⋮ Integrable aspects of the scaling \(q\)-state Potts models. II: finite-size effects ⋮ Thermodynamic Bethe ansatz for the subleading magnetic perturbation of the tricritical Ising model ⋮ Affine Yangian of \(\mathfrak{gl}(2)\) and integrable structures of superconformal field theory ⋮ Excited state TBA for the \(\phi_{2,1}\) perturbed \(M_{3,5}\) model

Cites Work

• Quantum R matrix for the generalized Toda system
• Infinite conformal symmetry in two-dimensional quantum field theory
• Yang-Baxter equation and representation theory. I
• VERTEX OPERATORS AND REPRESENTATIONS OF QUANTUM UNIVERSAL ENVELOPING ALGEBRAS
• Functional relations and analytic Bethe ansatz for twisted quantum affine algebras

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