Publicação: Geometrical Lagrangian for a supersymmetric Yang-Mills theory on the group manifold
Carregando...
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Kluwer Academic Publ
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
Perhaps one of the main features of Einstein's General Theory of Relativity is that spacetime is not flat itself but curved. Nowadays, however, many of the unifying theories like superstrings on even alternative gravity theories such as teleparalell geometric theories assume flat spacetime for their calculations. This article, an extended account of an earlier author's contribution, it is assumed a curved group manifold as a geometrical background from which a Lagrangian for a supersymmetric N = 2, d = 5 Yang-Mills - SYM, N = 2, d = 5 - is built up. The spacetime is a hypersurface embedded in this geometrical scenario, and the geometrical action here obtained can be readily coupled to the five-dimensional supergravity action. The essential idea that underlies this work has its roots in the Einstein-Cartan formulation of gravity and in the 'group manifold approach to gravity and supergravity theories'. The group SYM, N = 2, d = 5, turns out to be the direct product of supergravity and a general gauge group g: G = g circle times <(SU(2, 2/1))over bar>.
Descrição
Palavras-chave
group manifold, supergravity, supersymmetry, super Yang-Mills theory
Idioma
Inglês
Como citar
Mathematical Physics Analysis and Geometry. Dordrecht: Kluwer Academic Publ, v. 5, n. 4, p. 307-318, 2002.
