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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1002/prop.2190450203

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.

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