| Title |
Bethe vectors and recurrence relations for twisted Yangian based models / |
| Authors |
Regelskis, Vidas |
| DOI |
10.21468/SciPostPhys.17.5.126 |
| Full Text |
|
| Is Part of |
SciPost Physics.. Amsterdam : SciPost Foundation. 2024, vol. 17, iss. 5, art. no. 126, p. [1-39].. eISSN 2542-4653 |
| Keywords [eng] |
Algebraic Bethe Ansatz ; Integrable boundary Conditions ; Yangians |
| Abstract [eng] |
We study Olshanski twisted Yangian based models, known as one-dimensional "soliton non-preserving" open spin chains, by means of algebraic Bethe Ansatz. The even case, when the bulk symmetry is gl2n and the boundary symmetry is sp(2n) or so(2n0, was studied in [Ann. Henri Poincaré 20, 339 (2018)]. In the present work, we focus on the odd case, when the bulk symmetry is gl(2n+1) and the boundary symmetry is so(2n+1). We explicitly construct Bethe vectors and present a more symmetric form of the trace formula. We use the composite model approach and Y(gl(n))-type recurrence relations to obtain recurrence relations for twisted Yangian based Bethe vectors, for both even and odd cases. |
| Published |
Amsterdam : SciPost Foundation |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
