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Superpotential
About: Superpotential is a research topic. Over the lifetime, 3836 publications have been published within this topic receiving 137867 citations.
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TL;DR: In this article, the authors consider the simplest and most economic version among the proposed nonminimal supersymmetric models, in which the $\ensuremath{\mu}$ parameter is promoted to a singlet superfield, whose self-couplings are all absent from the renormalizable superpotential.
Abstract: We consider the simplest and most economic version among the proposed nonminimal supersymmetric models, in which the $\ensuremath{\mu}$ parameter is promoted to a singlet superfield, whose self-couplings are all absent from the renormalizable superpotential. Such a particularly simple form of the renormalizable superpotential may be enforced by discrete R symmetries which are extended to the gravity-induced nonrenormalizable operators as well. We show explicitly that within the supergravity-mediated supersymmetry-breaking scenario, the potentially dangerous divergent tadpoles associated with the presence of the gauge singlet first appear at loop levels higher than 5 and therefore do not destabilize the gauge hierarchy. The model provides a natural explanation for the origin of the $\ensuremath{\mu}$ term, without suffering from the visible axion or the cosmological domain-wall problem. Focusing on the Higgs sector of this minimal nonminimal supersymmetric standard model, we calculate its effective Higgs potential by integrating out the dominant quantum effects due to top squarks. We then discuss the phenomenological implications of the Higgs scalars predicted by the theory for the present and future high-energy colliders. In particular, we find that our new minimal nonminimal supersymmetric model can naturally accommodate a relatively light charged Higgs boson, with a mass close to the present experimental lower bound.
135 citations
Posted Content•
TL;DR: In this paper, orientifolds of Calabi-Yau 3-folds were considered in the context of Type IIA and Type IIB superstrings, and mirror symmetry was used to sum up worldsheet instanton contributions to the superpotential for Type IIa superstrings.
Abstract: We consider orientifolds of Calabi-Yau 3-folds in the context of Type IIA and Type IIB superstrings. We show how mirror symmetry can be used to sum up worldsheet instanton contributions to the superpotential for Type IIA superstrings. The relevant worldsheets have the topology of the disc and ${\bf RP^2}$.
133 citations
CERN1
TL;DR: It is shown that nonperturbative corrections to the superpotential of seven-brane gauge theories on type IIB and F-theory warped Calabi-Yau compactifications modify the holomorphic Yukawa couplings by an exponentially suppressed contribution, generically solving the Yukawa rank-one problem of certain F- theory local models.
Abstract: We analyze nonperturbative corrections to the superpotential of seven-brane gauge theories on type IIB and F-theory warped Calabi-Yau compactifications. We show, in particular, that such corrections modify the holomorphic Yukawa couplings by an exponentially suppressed contribution, generically solving the Yukawa rank-one problem of certain F-theory local models. We provide explicit expressions for the nonperturbative correction to the seven-brane superpotential, and check that it is related to a noncommutative deformation to the tree-level superpotential via a Seiberg-Witten map.
133 citations
TL;DR: In this paper, the authors provided a consistent reduction of the Kaluza-Klein truncation of type IIB supergravity on general 5-dimensional squashed Sasaki-Einstein manifolds.
Abstract: We provide a consistent $ \mathcal{N} = 4 $
Kaluza-Klein truncation of type IIB supergravity on general 5-dimensional squashed Sasaki-Einstein manifolds. Our reduction ansatz keeps all and only the supergravity modes dual to the universal gauge sector of the associated conformal theories, via the gauge/gravity correspondence. The reduced 5-dimensional model displays remarkable features: it includes both zero-modes as well as massive iterations of the Kaluza-Klein operators on the internal manifold; it contains tensor fields dual to vectors charged under a non-abelian gauge group; it has a scalar potential with a non-supersymmetric AdS vacuum in addition to the supersymmetric one.
133 citations
TL;DR: In this article, the authors examined the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculated the values of the gluino condensate for all simple gauge groups by initially compactifying the theory on a cylinder.
Abstract: We examine the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculate the values of the gluino condensate for all simple gauge groups By initially compactifying the theory on a cylinder we are able to perform calculations in a controlled weakly coupled way for a small radius The dominant contributions to the path integral on the cylinder arise from magnetic monopoles which play the role of instanton constituents We find that the semi-classically generated superpotential of the theory is the affine Toda potential for an associated twisted affine algebra We determine the supersymmetric vacua and calculate the values of the gluino condensate The number of supersymmetric vacua is equal to c2, the dual Coxeter number, and in each vacuum the monopoles carry a fraction 1/c2 of topological charge As the results are independent of the radius of the circle, they are also valid in the strong coupling regime where the theory becomes decompactified For gauge groups SU(N), SO(N) and
132 citations