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Euclideanization, topological theories, higher dimensions and all that

Mehta, Mayank R (1992) Euclideanization, topological theories, higher dimensions and all that. In: Physics Letters B, 274 (1). pp. 53-58.

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Official URL: http://dx.doi.org/10.1016/0370-2693(92)90303-L


It is shown that the euclideanized Yukawa theory, with the Dirac fermion belonging to an irreducible representation of the Lorentz group, is not bounded from below. A one parameter family of supersymmetric actions is presented which continuously interpolates between the N = 2 SSYM and the N = 2 supersymmetric topological theory. In order to obtain a theory which is bounded from below and satisfies Osterwalder-Schrader positivity, the Dirac fermion should belong to a reducible representation of the Lorentz group and the scalar fields have to be reinterpreted as the extra components of a higher dimensional vector field.

Item Type: Journal Article
Publication: Physics Letters B
Publisher: Elsevier science
Additional Information: Copyright of this article belongs to Elsevier science.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 24 Jan 2011 08:51
Last Modified: 24 Jan 2011 08:51
URI: http://eprints.iisc.ac.in/id/eprint/35223

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