Integrable defects in affine Toda field theory and infinite-dimensional representations of quantum groups

DOI10.1016/j.nuclphysb.2011.03.007zbMath1215.37042arXiv1012.4186OpenAlexW2021884342MaRDI QIDQ545255

Cristina Zambon, Edward Corrigan

Publication date: 22 June 2011

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

Full work available at URL: https://arxiv.org/abs/1012.4186

zbMATH Keywords

Yang-Baxter equationtransmission matrices

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) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Baxter equations (16T25)

Related Items

Type-II super-Bäcklund transformation and integrable defects for the \(N = 1\) super sinh-Gordon model ⋮ Aspects of defects in integrable quantum field theory ⋮ Defect scaling Lee-Yang model from the perturbed DCFT point of view ⋮ Integrability of generalised type II defects in affine Toda field theory ⋮ Finite volume form factors in the presence of integrable defects ⋮ Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations ⋮ Quantum and classical integrable sine-Gordon model with defect ⋮ Momentum conserving defects in affine Toda field theories ⋮ Infinite dimension reflection matrices in the sine-Gordon model with a boundary ⋮ Transmission matrices in \(\mathfrak{gl}_{\mathcal N}\) \& \(\mathfrak{U}_q(\mathfrak{gl}_{\mathcal N})\) quantum spin chains. ⋮ Quantum anomalies in $ A_r^{(1)} $ Toda theories with defects

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