Superconformal invariance from N = 2 supersymmetry Ward identities

Laurent Baulieu; Guillaume Bossard

doi:10.1088/1126-6708/2008/02/075

Superconformal invariance from N = 2 supersymmetry Ward identities

Laurent Baulieu
, Guillaume Bossard

Sorbonne Universityé
Max-Planck-Institut fuer Gravitationsphysik

Research output: Contribution to journal › Article › peer-review

Abstract

We algebraically prove the cancellation of the β function at all order of perturbation theory of = 2 supersymmetric gauge theories with a vanishing one-loop β function. The proof generalises that recently given for the = 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 BPS operators.

Original language	English
Article number	075
Journal	Journal of High Energy Physics
Volume	2008
Issue number	2
DOIs	https://doi.org/10.1088/1126-6708/2008/02/075
Publication status	Published - 1 Feb 2008
Externally published	Yes

Keywords

BRST quantization
Renormalization regularization and renormalons
Supersymmetric gauge theory

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10.1088/1126-6708/2008/02/075

Cite this

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AB - We algebraically prove the cancellation of the β function at all order of perturbation theory of = 2 supersymmetric gauge theories with a vanishing one-loop β function. The proof generalises that recently given for the = 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 BPS operators.

KW - BRST quantization

KW - Renormalization regularization and renormalons

KW - Supersymmetric gauge theory

UR - https://www.scopus.com/pages/publications/40549112670

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DO - 10.1088/1126-6708/2008/02/075

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VL - 2008

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 2

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ER -

Superconformal invariance from N = 2 supersymmetry Ward identities

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