dc.identifier.uri |
http://dx.doi.org/10.15488/16184 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/16311 |
|
dc.contributor.author |
Frahm, Holger
|
|
dc.contributor.author |
Gehrmann, Sascha
|
|
dc.date.accessioned |
2024-02-08T08:59:02Z |
|
dc.date.available |
2024-02-08T08:59:02Z |
|
dc.date.issued |
2023 |
|
dc.identifier.citation |
Frahm, H.; Gehrmann, S.: Integrable boundary conditions for staggered vertex models. In: Journal of Physics A: Mathematical and Theoretical 56 (2023), Nr. 2, 025001. DOI: https://doi.org/10.1088/1751-8121/acb29f |
|
dc.description.abstract |
Yang-Baxter integrable vertex models with a generic Z 2 -staggering can be expressed in terms of composite R -matrices given in terms of the elementary R-matrices. Similarly, integrable open boundary conditions can be constructed through generalized reflection algebras based on these objects and their representations in terms of composite boundary matrices K ± . We show that only two types of staggering yield a local Hamiltonian with integrable open boundary conditions in this approach. The staggering in the underlying model allows for a second hierarchy of commuting integrals of motion (in addition to the one including the Hamiltonian obtained from the usual transfer matrix), starting with the so-called quasi momentum operator. In this paper, we show that this quasi momentum operator can be obtained together with the Hamiltonian for both periodic and open models in a unified way from enlarged Yang-Baxter or reflection algebras in the composite picture. For the special case of the staggered six-vertex model, this allows constructing an integrable spectral flow between the two local cases. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Bristol : IOP Publ. |
|
dc.relation.ispartofseries |
Journal of Physics A: Mathematical and Theoretical 56 (2023), Nr. 2 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
Bethe Ansatz |
eng |
dc.subject |
boundary conditions |
eng |
dc.subject |
finite-size scaling |
eng |
dc.subject |
integrability |
eng |
dc.subject |
spectral flow |
eng |
dc.subject |
staggering |
eng |
dc.subject |
vertex models |
eng |
dc.subject.ddc |
530 | Physik
|
|
dc.title |
Integrable boundary conditions for staggered vertex models |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1751-8121 |
|
dc.relation.issn |
1751-8113 |
|
dc.relation.doi |
https://doi.org/10.1088/1751-8121/acb29f |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
56 |
|
dc.bibliographicCitation.firstPage |
025001 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
|
dc.bibliographicCitation.articleNumber |
025001 |
|