Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry

TY - JOUR

T1 - Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry

AU - Gerrard, Allan John

AU - MacKay, Niall James

AU - Regelskis, Vidas

N1 - ©2018 Springer Nature. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

PY - 2019/2/5

Y1 - 2019/2/5

N2 - We present a nested algebraic Bethe ansatz for a one dimensional open spin chain whose boundary quantum spaces are irreducible so2n- or sp2n-representations and the monodromy matrix satisfies the defining relations of the Olshanskii twisted Yangian Y±(gl2n). We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a so2n- or sp2n-symmetric open spin chain to that of a gln-symmetric periodic spin chain. We explicitly derive the structure of the Bethe vectors and the nested Bethe equations.

AB - We present a nested algebraic Bethe ansatz for a one dimensional open spin chain whose boundary quantum spaces are irreducible so2n- or sp2n-representations and the monodromy matrix satisfies the defining relations of the Olshanskii twisted Yangian Y±(gl2n). We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a so2n- or sp2n-symmetric open spin chain to that of a gln-symmetric periodic spin chain. We explicitly derive the structure of the Bethe vectors and the nested Bethe equations.

UR - http://www.scopus.com/inward/record.url?scp=85055714552&partnerID=8YFLogxK

U2 - 10.1007/s00023-018-0731-1

DO - 10.1007/s00023-018-0731-1

M3 - Article

SN - 1424-0661

VL - 20

SP - 339

EP - 392

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 2

ER -