Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Basu-Mallick, B. | |
| dc.contributor.author | Bondyopadhaya, N. | |
| dc.contributor.author | Hikami, K. | |
| dc.date.accessioned | 2019-02-09T19:50:38Z | |
| dc.date.available | 2019-02-09T19:50:38Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains / B. Basu-Mallick, N. Bondyopadhaya, K. Hikami // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 34 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 81R12; 81R50; 82B10; 82B05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2010.091 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146523 | |
| dc.description.abstract | We define a class of Y(sl(m|n)) Yangian invariant Haldane-Shastry (HS) like spin chains, by assuming that their partition functions can be written in a particular form in terms of the super Schur polynomials. Using some properties of the super Schur polynomials, we show that the partition functions of this class of spin chains are equivalent to the partition functions of a class of one-dimensional vertex models with appropriately defined energy functions. We also establish a boson-fermion duality relation for the partition functions of this class of supersymmetric HS like spin chains by using their correspondence with one-dimensional vertex models. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
