Integrable Defects in Field Theory: Classical Aspects and Quantum Groups
Folding in quantum groups, fusing defects and transmission matrices
Gravitation and cosmology: structural questions and applications
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [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
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 47, n. 6 FEB 14 2014. |
| Web of Science Citations: | 4 |
| Abstract | |
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) | |
| FAPESP's process: | 11/20242-3 - The quantum integrability of continuous models and the computation of scattering amplitudes |
| Grantee: | Gabriel Weber Martins |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |