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SUMMARY:Superconformal invariance on finite supersymmetric grand unificati
on theories
DTSTART;VALUE=DATE-TIME:20191204T222000Z
DTEND;VALUE=DATE-TIME:20191204T222500Z
DTSTAMP;VALUE=DATE-TIME:20210225T132021Z
UID:indico-contribution-3619209@indico.cern.ch
DESCRIPTION:Speakers: Luis Enrique Reyes Rodríguez (Instituto de Física\
, UNAM)\nIn the context of grand unification supersymmetric theories\, we
treated the properties of finite theories (finite on sense of his absence
of UV divergences at any order in perturbative expansion) and his implemen
tation to construct a model phenomenological viable and consistent with th
e supersymmetric version of the standard model (MSSM). One of the most int
eresting theoretical properties of these theories is the existence of a su
perconformal manifold generated by the operators of the finite theory in 3
+1 space-time dimensions and $\\mathcal{N}=1$\, and the fact that these tw
o characteristics (finiteness and superconformal invariance). To prove tha
t affirmation we focus our attention on the renormalization group function
s $\\beta_{g}$\, $\\beta_y$ and $\\gamma_i$\, his relation with scale inva
riance and his role to identify generators of the superconformal manifold.
This result is consistent with work of D. I. Kazakoz\, in the case of $\\
mathcal{N}=4$.\n\nhttps://indico.cern.ch/event/801886/contributions/361920
9/
LOCATION:Centro Cultural\, Universidad del Atlántico Teatrino 1
URL:https://indico.cern.ch/event/801886/contributions/3619209/
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