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Integrable structure of the string theory

Grant number: 05/05147-3
Support Opportunities:Scholarships in Brazil - Post-Doctorate
Effective date (Start): June 01, 2006
Effective date (End): November 30, 2008
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Victor de Oliveira Rivelles
Grantee:Arsen Melikyan
Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil


The main focus of this proposal is to further examine the integrable structure of the String Theory, beyond the classical level, by means of the quantum inverse scattering method developed by Faddeev, Sklyanin and others. However, the well-known quantization procedure is not applicable due to difficulties such as ambiguities present in the theory at the classical level and various gauge symmetries of the string action that require a very careful treatment. The proposed project aims to address these issues systematically. The realization of this specific program will be an important step towards the quantization of String Theory on AdS backgrounds, understanding its integrable structure on both classical and quantum levels and elucidating its relation to the supersymmetric and non-supersymmetric Yang-Mills theories. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
MELIKYAN, A.; PINZUL, A.; RIVELLES, V. O.; WEBER, G.. On S-matrix factorization of the Landau-Lifshitz model. Journal of High Energy Physics, n. 10, . (05/05147-3, 06/56056-0, 06/02939-9)
MELIKYAN, A.; PINZUL, A.. On quantum integrability of the Landau-Lifshitz model. Journal of Mathematical Physics, v. 50, n. 10, . (05/05147-3, 06/56056-0)

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