Superconformal field theory and SUSY \(N=1\) KdV hierarchy. I: Vertex operators and Yang-Baxter equation.

DOI10.1016/j.physletb.2004.07.019zbMath1123.81368arXivhep-th/0407154OpenAlexW2053508404MaRDI QIDQ2462907

Anton M. Zeitlin, Petr P. Kulish

Publication date: 5 December 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0407154

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Inverse scattering problems in quantum theory (81U40) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (11)

Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation ⋮ Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator ⋮ Quantum supersymmetric Toda--mKdV hierarchies ⋮ Super quasiperiodic wave solutions and asymptotic analysis for \(\mathcal N=1\) supersymmetric KdV-type equations ⋮ Q-operator and fusion relations for \(U_q(C^{(2)}(2))\) ⋮ On spectrum of ILW hierarchy in conformal field theory II: coset CFT's ⋮ Integrability of a family of quantum field theories related to sigma models ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ Quantization of the \(N=2\) supersymmetric KdV hierarchy ⋮ Affine Yangian of \(\mathfrak{gl}(2)\) and integrable structures of superconformal field theory ⋮ ODE/IM correspondence and supersymmetric affine Toda field equations

Cites Work

• Integrable structure of superconformal field theory and quantum super-KdV theory
• Lie superalgebraic approach to super Toda lattice and generalized super KdV equations
• Generalized KdV and quantum inverse scattering description of conformal minimal models
• Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
• The spectral theory of a functional-difference operator in conformal field theory
• Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory

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