Physics NotePublished
Self-Duality Condition in Chern-Simons Higgs
P. P. Srivastava; K. Tanaka
1992
Publication details
- Authors
- P. P. Srivastava; K. Tanaka
- Type
- Physics Note
- Status
- Published
- Publication date
- 1992
- Description
- 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.
- Year
- 1992
- Number
- CBPF-NF-005/92
- Linked to a thesis
- No
- Linked to a grant
- No