All-order Finiteness in N=1 SYM Theories: Criteria and Applications

Abstract

As a motivation, we first recall the possible connection of electric-magnetic duality to finiteness in N=1 super-Yang-Mills theories (SYM). Then, we present the criterion for all-order finiteness (i.e., vanishing of the beta-functions at all orders) in N=1 SYM. Finally, we apply this finiteness criterion to an SU(5) SGUT. The latter turns out to be all-order finite if one imposes additional symmetries.

17 pages, plain LaTex, no figures. Some typos corrected, references updated

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• Reduction of Couplings and its application in Particle Physics
• Reduction of Couplings in the MSSM
• Finite Theories after the discovery of a Higgs-like boson at the LHC
• Finite Unified Theories and the Higgs boson
• Finite Unification: Theory and Predictions
• The LHC Higgs Boson Discovery: Implications for Finite Unified Theories
• Conformal Transformation Properties of the Supercurrent in Four Dimensional Supersymmetric Theories
• Finite Theories Before and After the Discovery of a Higgs Boson at the LHC
• Dualities in all order finite N=1 gauge theories
• Reduction of the Parameters in MSSM
• Updates and New Results in Models with Reduced Couplings
• Probing Unified Theories with Reduced Couplings at Future Hadron Colliders
• Coupling Reduction and the Higgs Mass
• On the trace identity in a model with broken symmetry
• Flavour in $SU(5)$ Finite Grand Unified Models
• From Veltman's conditions to Finite Unification