The authors extend Tulczyjew's geometrical formulation of skewsymmetric tensor gauge fields as connections on generalised principal fibre bundles to the category of supermanifolds. Given a smooth d-dimensional manifold M and a k-form field on it, they construct a suitable supersmooth generalised principal fibre bundle P over a (d,2)-dimensional supermanifold M such that the BRS symmetries of the theory have a natural geometrical interpretation.
Supermanifold description of the BRS symmetries of skewsymmetric tensor gauge fields / Depantz, A; Marchetti, Pa; Percacci, Roberto. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 16:4(1983), pp. 861-874. [10.1088/0305-4470/16/4/022]
Supermanifold description of the BRS symmetries of skewsymmetric tensor gauge fields
Percacci, Roberto
1983-01-01
Abstract
The authors extend Tulczyjew's geometrical formulation of skewsymmetric tensor gauge fields as connections on generalised principal fibre bundles to the category of supermanifolds. Given a smooth d-dimensional manifold M and a k-form field on it, they construct a suitable supersmooth generalised principal fibre bundle P over a (d,2)-dimensional supermanifold M such that the BRS symmetries of the theory have a natural geometrical interpretation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.