Superconformal invariance from N=2 supersymmetry Ward identities

Laurent Baulieu (1) , Guillaume Bossard (2)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 AEI - Max-Planck-Institut für Gravitationsphysik ( Albert-Einstein-Institut )

We algebraically prove the cancellation of the beta function at all order of perturbation theory of N=2 supersymmetric gauge theories with a vanishing one-loop beta function. The proof generalises that recently given for the N=4 case. It uses the consistent Slavnov-Taylor identities of the shadow dependent formulation. We also demonstrate the cancellation at all orders of the anomalous dimensions of vector and hypermultiplet one half BPS operators.

Mots clés: Supersymmetry; Yang-Mills theory; Conformal invariance; algebraic renormalization

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

Laurent Baulieu, Guillaume Bossard. Superconformal invariance from N=2 supersymmetry Ward identities. Journal of High Energy Physics, 2008, 02, pp.075. ⟨10.1088/1126-6708/2008/02/075⟩. ⟨hal-00191117v2⟩