Topological solitons in scalar field theories in (1 + 1)-dimensions.

Name: Tadeu Miguel Tassis
Type: MSc dissertation
Publication date: 12/07/2019
Advisor:

Namesort ascending Role
Gabriel Luchini Martins Advisor *
Clisthenis Ponce Constantinidis Co-advisor *

Examining board:

Namesort ascending Role
Luiz Agostinho Ferreira External Examiner *
Humberto Belich Junior Internal Examiner *
Gabriel Luchini Martins Advisor *
Clisthenis Ponce Constantinidis Co advisor *
Betti Hartmann External Examiner *

Summary: In this dissertation we study a generalization of the BPS equations, which can be applied in theories with multiplets of scalar fields. We give a overview of the generalized BPS formalism andhowit can be applied to the construction of new models fromLie algebras, the FKZ models. We describe the models based on algebras g2 and su(4), and present some static solutions obtained from the BPS equations. Moreover, we also present the results of some simulations for soliton scattering processes in the FKZ model based on algebra su(2).

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