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Self-Duality Condition in Chern-Simons Higgs

P. P. Srivastava; K. Tanaka

1992

Dados da publicação

Autores
P. P. Srivastava; K. Tanaka
Tipo
Nota de Física
Status
Publicado
Data de publicação
1992
Descrição
It is shown that in the Higgs and Chern-Simons-Higgs systems the 'self-duality' constraint on the scalar field (combined with the equations of motion) by itself leads to a general form for the potential. In the limits of the Chern-Simons coefficient <math> k \rightarrow 0 \,\!</math> and <math> k \rightarrow \infty \,\!</math> one obtains the previous special forms of the potential. In the latter case, it is shown that the quantity <math>ln \mid a \mid ^{2} \,\!</math>, where a is the bosonic field, satisfies the Liouville equation. The supersymmetric extensions of the theories written in terms of superfields is considered. A 'supersymmetric self-duality' constraint on the matter superfield is proposed which contains the bosonic one and it leads to the specific forms of superpotentials without invoking arguments based on an explicit <math>N = 2\,\!</math> supersymmetry.
Ano
1992
Número
CBPF-NF-005/92
Vínculo com tese
Não
Vínculo com bolsa
Não
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