Shadow Fields and Local Supersymmetric Gauges

Laurent Baulieu (1, 2) , Guillaume Bossard (1) , Silvio Paolo Sorella (3)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 CERN - European Organization for Nuclear Research
3 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]

To control supersymmetry and gauge invariance in super-Yang-Mills theories we introduce new fields, called shadow fields, which enable us to enlarge the conventional Faddeev-Popov framework and write down a set of useful Slavnov-Taylor identities. These identities allow us to address and answer the issue of the supersymmetric Yang-Mills anomalies, and to perform the conventional renormalization programme in a fully regularization-independent way.

Mots clés: supersymmetry; Yang-Mills; Slavnov-Taylor identities; renormalization

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Laurent Baulieu, Guillaume Bossard, Silvio Paolo Sorella. Shadow Fields and Local Supersymmetric Gauges. Nuclear Physics B, 2006, 753 (3), pp.273. ⟨hal-00022006v2⟩