| Texto completo | |
| Autor(es): |
Número total de Autores: 2
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| Afiliação do(s) autor(es): | [1] Univ Brasilia, Inst Fis, BR-70910900 Brasilia, DF - Brazil
[2] Int Ctr Condensed Matter Phys, Brasilia, DF - Brazil
[3] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil
Número total de Afiliações: 3
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| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Physics A-Mathematical and Theoretical; v. 47, n. 6 FEB 14 2014. |
| Citações Web of Science: | 4 |
| Resumo | |
We present a general formalism to investigate the integrable properties of a large class of non-ultralocal models which in principle allows the construction of the corresponding lattice versions. Our main motivation comes from the su(1 vertical bar 1) subsector of the string theory on AdS(5) S-5 in the uniform gauge, where such type of non-ultralocality appears in the resulting Alday-Arutyunov-Frolov (AAF) model. We first show how to account for the second derivative of the delta function in the Lax algebra of the AAF model by modifying Maillet's r- and s-matrices formalism, and derive a well-defined algebra of transition matrices, which allows for the lattice formulation of the theory. We illustrate our formalism on the examples of the bosonic Wadati-Konno-Ichikawa-Shimizu (WKIS) model and the two-dimensional free massive Dirac fermion model, which can be obtained by a consistent reduction of the full AAF model, and give the explicit forms of their corresponding r- matrices. (AU) | |
| Processo FAPESP: | 11/20242-3 - A integrabilidade quântica em modelos contínuos e o cálculo de amplitudes de espalhamento |
| Beneficiário: | Gabriel Weber Martins |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |