Abstract
This paper presents a study of the geometrical properties of superfield D=3, N=1, 2 Yang-Mills theories, and derives explicit expressions for the topological mass term. In the case of the D=3, N=1 theory, the subject is addressed in the language of differential forms, and a special mapping of the Chern-Simons class of differential forms into the corresponding class of integral forms is used to construct the topological mass term. A superfield description is given for the D=3, N=2 Yang-Mills theory that arises upon dimensional reduction of the corresponding four-dimensional theory with N=1 supersymmetry. The expression for the topological mass term is derived in compact form in prepotential terms.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 13–17, December, 1988.
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Zupnik, B.M., Pak, D.G. Topologically massive gauge theories in superspace. Soviet Physics Journal 31, 962–965 (1988). https://doi.org/10.1007/BF01101161
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DOI: https://doi.org/10.1007/BF01101161