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Integrable defects at junctions within a network

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JournalJournal of Physics A: Mathematical and Theoretical
DateAccepted/In press - 6 Oct 2020
DateE-pub ahead of print (current) - 6 Oct 2020
Early online date6/10/20
Original languageEnglish

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.

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