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Doctoral Thesis
DOI
https://doi.org/10.11606/T.43.2018.tde-06112018-011344
Document
Author
Full name
René Negrón Huamán
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2018
Supervisor
Committee
Rivelles, Victor de Oliveira (President)
Brandt, Fernando Tadeu Caldeira
Dalmazi, Denis
Nastase, Horatiu Stefan
Trancanelli, Diego
Title in English
On integrable deformations of semi-symmetric space sigma-models
Keywords in English
Hybrid sigma model.
Integrability
Integrable deformations
R-matrix
Supergravity
Superstrings
Yang Baxter equation
Abstract in English
In this thesis we review some aspects of Yang-Baxter deformations of semi-symmetric space sigma models. We start by giving a short review of the sigma model description of superstrings and then we offer a self contained introduction to the Yang-Baxter deformation technique. We then show how to obtain an integrable deformation of the hybrid sigma model. Also, we show that the gravity dual of beta-deformed ABJM theory can be obtained as a Yang-Baxter deformation. This is done by selecting a convenient combination of Cartan generators in order to construct an Abelian r-matrix satisfying the classical Yang-Baxter equation.
Title in Portuguese
Deformações integráveis do modelo sigma da supercorda em espaços semi-simétricos
Keywords in Portuguese
Deformações integráveis
Equação de Yang Baxter
Integrabilidade
Matriz R
Modelo sigma híbrido.
Supercordas
Supergravidade
Abstract in Portuguese
Nesta tese revisamos alguns aspectos das deformações de Yang-Baxter de modelos sigma em espaços semi-simétricos. Damos uma breve revisão do modelo sigma de supercordas e, em seguida, oferecemos uma introdução ao método de deformação de Yang-Baxter. Em seguida, mostramos como obter uma deformação integrável do modelo sigma híbrido. Além disso, mostramos que o dual gravitacional da teoria ABJM beta-deformada pode ser obtida como uma deformação de Yang-Baxter. Isso é feito selecionando-se uma combinação conveniente de geradores de Cartan para construir uma matriz r Abeliana satisfazendo a equação clássica de Yang-Baxter.
 
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Tese_Rene.pdf (877.03 Kbytes)
Publishing Date
2018-11-12
 
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