Boundary scattering in the principal chiral model
Niall MacKay, Ben Short
TL;DR
This paper explores boundary effects in the principal chiral model, revealing that integrable boundary conditions and quantum boundary S-matrices are classified by symmetric spaces, linked through a twisted Yangian algebra of non-local charges.
Contribution
It introduces a classification of boundary conditions and S-matrices in the principal chiral model using symmetric spaces and twisted Yangian algebra.
Findings
Boundary conditions classified by symmetric spaces G/H
Quantum boundary S-matrices also classified by G/H
Presence of twisted Yangian algebra of non-local charges
Abstract
An informal introduction to our recent work on the principal chiral model with boundary. We found that both classically integrable boundary conditions and quantum boundary S-matrices were classified by the symmetric spaces G/H. The connection is explained by the presence of a twisted Yangian algebra of non-local charges.
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