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

Corrigan, E.; Zambon, C.

Authors

E. Corrigan



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