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Allan Gerrard

4 papers hereh-index 332 citations6 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author1
  • first author3

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math-ph4

identity via Semantic Scholar / OpenAlex

activity
20172024
most citedNested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

14 citations · 29 across the 4 of their papers we have counts for

collaborators

4 papers

math-ph2024★ 1 cited

On the nested algebraic Bethe ansatz for spin chains with simple g-symmetry

Allan John Gerrard

We propose a new framework for the nested algebraic Bethe ansatz for a closed, rational spin chain with g-symmetry for any simple Lie algebra g. Starting…

math-ph2019★ 14 cited

Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

Allan Gerrard, Vidas Regelskis

We construct exact eigenvectors and eigenvalues for Uq​(sp2n​)- and Uq​(so2n​)-symmetric closed spin chains by means of a nested algebraic Bethe ansat…

math-ph2019★ 8 cited

Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains

Allan Gerrard, Vidas Regelskis

We present a nested algebraic Bethe ansatz for one-dimensional open so(2n)- and sp(2n)-symmetric spin chains with diagonal boundary conditions and described by the extended twisted…

math-ph2017★ 6 cited

Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry

Allan Gerrard, Niall MacKay, Vidas Regelskis

We present a nested algebraic Bethe ansatz for a one dimensional open spin chain whose boundary quantum spaces are irreducible so2n​- or sp2n​-represe…

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