A renormalizable N=1/2 SYM theory with interacting matter

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dc.creatorPenati, Silvia
dc.creatorRomagnoni, Alberto
dc.creatorSiani, Massimo
dc.date2009-01-20
dc.date.accessioned2026-07-07T12:58:55Z
dc.date.available2026-07-07T12:58:55Z
dc.descriptionWe consider nonanticommutative SYM theories with chiral matter in the adjoint representation of the SU(N) x U(1) gauge group. In a superspace setup and manifest background covariant approach we investigate the one-loop renormalization of the theory when a cubic superpotential is present. The structure of the divergent terms reveals that the theory simply obtained from the ordinary one by trading products for star products is not renormalizable. Moreover, because of the different renormalization undergone by the abelian field compared to the non-abelian ones, the superpotential seems to be incompatible with the requests of renormalizability, gauge and N=1/2 invariance. However, by a suitable modification of the quadratic action for the U(1) (anti)chiral superfields and the addition of extra couplings, we find an action which is one-loop renormalizable and manifestly N=1/2 supersymmetric and supergauge invariant. We conclude that interacting matter can be safely introduced in NAC gauge theories, in contrast with previous results.
dc.descriptionLaTex, 38 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0901.3094
dc.identifierhttp://arxiv.org/abs/0901.3094
dc.identifierJHEP 0903:112,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225407
dc.subjectHigh Energy Physics - Theory
dc.titleA renormalizable N=1/2 SYM theory with interacting matter
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