| Title |
Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry |
| Authors |
Gerrard, Allan ; MacKay, Niall ; Regelskis, Vidas |
| DOI |
10.1007/s00023-018-0731-1 |
| Full Text |
|
| Is Part of |
Annales Henri PoincarΓ©.. Cham : Springer Nature Switzerland AG. 2019, vol. 20, iss. 2, p. 339-392.. ISSN 1424-0637. eISSN 1424-0661 |
| Keywords [eng] |
Bethe ansatz ; twisted Yangian ; spin chain |
| Abstract [eng] |
We present a nested algebraic Bethe ansatz for a one-dimensional open spin chain whose boundary quantum spaces are irreducible π°π¬2π- or π°π2π-representations, and the monodromy matrix satisfies the defining relations of the Olshanskii twisted Yangian πΒ±(π€π©2π). We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a π°π¬2π- or π°π2π-symmetric open spin chain to that of a π€π©π-symmetric periodic spin chain. We explicitly derive the structure of the Bethe vectors and the nested Bethe equations. |
| Published |
Cham : Springer Nature Switzerland AG |
| Type |
Journal article |
| Language |
English |
| Publication date |
2019 |
