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

Corrigan, E.; Zambon, C.

Abstract

Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang–Baxter equations, and second by solving a linear intertwining relation between a finite-dimensional representation of the relevant Borel subalgebra of the quantum group underpinning the integrable quantum field theory and a particular infinite-dimensional representation expressed in terms of sets of generalised ‘quantum’ annihilation and creation operators. The principal examples analysed are based on the View the MathML source and View the MathML source affine Toda models but examples of similar infinite-dimensional representations for quantum Borel algebras for all other affine Toda theories are also provided.

Citation

Corrigan, E., & Zambon, C. (2010). Integrable defects in affine Toda field theory and infinite-dimensional representations of quantum groups. Nuclear Physics B, 848(3), 545-577. https://doi.org/10.1016/j.nuclphysb.2011.03.007

• Journal Article Type: Article
• Publication Date: 2010-07
• Deposit Date: Feb 17, 2011
• Journal: Nuclear Physics B
• Print ISSN: 0550-3213
• Electronic ISSN: 1873-1562
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 848
• Issue: 3
• Pages: 545-577
• DOI: https://doi.org/10.1016/j.nuclphysb.2011.03.007
• Public URL: https://durham-repository.worktribe.com/output/1512123