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All‐order Finiteness in N = 1 SYM Theories: Criteria and Applications
Author(s) -
Lucchesi Claudio,
Zoupanos George
Publication year - 1997
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190450203
Subject(s) - homogeneous space , order (exchange) , duality (order theory) , mathematics , connection (principal bundle) , pure mathematics , theoretical physics , physics , mathematical physics , geometry , finance , economics
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 β‐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.