66 citations · 1.3k across the 97 of their papers we have counts for
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On sl(N) and sl(M|N) integrable open spin chains
D. Arnaudon, J. Avan, N. Crampe' +3
We study open spin chains based on rational sl(N) and sl(M|N) R-matrices. We classify the solutions of the reflection equations, for both the soliton-preserving and soliton-non-pre…
From affine Hecke algebras to boundary symmetries
Anastasia Doikou
Motivated by earlier works we employ appropriate realizations of the affine Hecke algebra and we recover previously known non-diagonal solutions of the reflection equation for the…
General boundary conditions for the sl(N) and sl(M|N) open spin chains
Daniel Arnaudon, Jean Avan, Nicolas Crampe +3
Two types of boundary conditions ("soliton preserving" and "soliton non-preserving") are investigated for the sl(n) and sl(m|n) open spin chains. The appropriate reflection equatio…
Commuting quantum traces for quadratic algebras
Zoltan Nagy, Jean Avan, Anastasia Doikou +1
Consistent tensor products on auxiliary spaces, hereafter denoted "fusion procedures", are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results…
On reflection algebras and twisted Yangians
Anastasia Doikou
It is known that integrable models associated to rational matrices give rise to certain non-abelian symmetries known as Yangians. Analogously `boundary' symmetries arise when g…
Boundary non-local charges from the open spin chain
Anastasia Doikou
The site open XXZ quantum spin chain with a right non-diagonal boundary and special diagonal left boundary is considered. The boundary non-local charges originally obtained fro…