Self-duality in odd dimensions

For spacetime dimension d = 4 k − 1 one may take the “square root” of the Proca equation for a massive antisymmetric tensor field. The result is a “self-dual” field which propagates half as many massive modes. We present a simple supersymmetric model for d = 3. We also discuss other types of odd-dim...

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Bibliographic Details
Published in:Physics letters. B 1984-01, Vol.136 (1), p.38-42
Main Authors: Townsend, P.K., Pilch, K., Van Nieuwenhuizen, P.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:For spacetime dimension d = 4 k − 1 one may take the “square root” of the Proca equation for a massive antisymmetric tensor field. The result is a “self-dual” field which propagates half as many massive modes. We present a simple supersymmetric model for d = 3. We also discuss other types of odd-dimensional self-duality, in d = 4 k + 1 and in euclidean spaces.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(84)92051-3