Asymmetric Twin Representation: the Transfer Matrix Symmetry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Asymmetric Twin Representation: the Transfer Matrix Symmetry
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| Creator |
Doikou, A.
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| Description |
The symmetry of the Hamiltonian describing the asymmetric twin model was partially studied in earlier works, and our aim here is to generalize these results for the open transfer matrix. In this spirit we first prove, that the so called boundary quantum algebra provides a symmetry for any generic - independent of the choice of model - open transfer matrix with a trivial left boundary. In addition it is shown that the boundary quantum algebra is the centralizer of the B type Hecke algebra. We then focus on the asymmetric twin representation of the boundary Temperley-Lieb algebra. More precisely, by exploiting exchange relations dictated by the reflection equation we show that the transfer matrix with trivial boundary conditions enjoys the recognized Uq(sl₂) ⊗ Ui(sl₂) symmetry. When a non-diagonal boundary is implemented the symmetry as expected is reduced, however again certain familiar boundary non-local charges turn out to commute with the corresponding transfer matrix.
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| Date |
2019-02-16T08:29:35Z
2019-02-16T08:29:35Z 2007 |
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| Type |
Article
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| Identifier |
Asymmetric Twin Representation: the Transfer Matrix Symmetry / A. Doikou // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 36 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 81R50; 17B37 http://dspace.nbuv.gov.ua/handle/123456789/147801 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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