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Integrable defects at junctions within a network

Corrigan, E; Zambon, C

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Authors

E Corrigan



Abstract

The purpose of this article is to explore the properties of integrable, purely transmitting, defects placed at the junctions of several one-dimensional domains within a network. The defect sewing conditions turn out to be quite restrictive—for example, requiring the number of domains meeting at a junction to be even—and there is a clear distinction between the behaviour of conformal and massive integrable models. The ideas are mainly developed within classical field theory and illustrated using a variety of field theory models defined on the branches of the network, including both linear and nonlinear examples.

Citation

Corrigan, E., & Zambon, C. (2020). Integrable defects at junctions within a network. Journal of Physics A: Mathematical and Theoretical, 53(48), Article 484001. https://doi.org/10.1088/1751-8121/abbec3

Journal Article Type Article
Acceptance Date Oct 6, 2020
Online Publication Date Nov 11, 2020
Publication Date Dec 4, 2020
Deposit Date Nov 30, 2020
Publicly Available Date Oct 22, 2021
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 53
Issue 48
Article Number 484001
DOI https://doi.org/10.1088/1751-8121/abbec3
Public URL https://durham-repository.worktribe.com/output/1249965
Related Public URLs https://arxiv.org/abs/2006.14447v2

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.





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