A q-Virasoro algebra at roots of unity, free fermions, and Temperley-Lieb hamiltonians
| Autor: | Alessandro Nigro |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Symmetric algebra
Pure mathematics 010308 nuclear & particles physics Current algebra Statistical and Nonlinear Physics N = 2 superconformal algebra 01 natural sciences Filtered algebra Incidence algebra 0103 physical sciences Algebra representation Cellular algebra Virasoro algebra 010306 general physics Mathematical Physics Mathematics |
| Zdroj: | Journal of Mathematical Physics. 57:041702 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.4945084 |
| Popis: | In this work, we consider the q-deformation of the Virasoro algebra [M. Chaichian and P. Presnajder, Phys. Lett. B 277, 109 (1992)] expressed in terms of free fermions, and we then realize this algebra, when the deformation parameter is a root of unity, on the lattice in a truncated form in terms of the Clifford algebra of Γ matrices. For this finite size truncation, the commutation relations of the Deformed algebra hold exactly albeit without central extension term. We then study the relations existing between this lattice truncation of the deformed Virasoro algebra at roots of unity and the tower of commuting Temperley-Lieb hamiltonians introduced in a previous work. |
| Databáze: | OpenAIRE |
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