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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 equivalence of N = 1 dynamics obtained by deforming N = 2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes, was shown.
Abstract: We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.

195 citations

Journal ArticleDOI
TL;DR: In this paper, a simple mechanism for solving the μ-problem in the context of minimal low-energy supergravity models is proposed, based on the appearance of non-renormalizable couplings in the superpotential.

192 citations

Journal ArticleDOI
TL;DR: In this article, the authors present explicit examples of supersymmetric and nonsupersymmetric solutions to the resulting 4d {Nu} = 1 supergravity no-scale supergravity.
Abstract: The presence of RR and NS three-form fluxes in type IIB string compactification on a Calabi-Yau orientifold gives rise to a nontrivial superpotential W for the dilaton and complex structure moduli. This superpotential is computable in terms of the period integrals of the Calabi-Yau manifold. In this paper, we present explicit examples of both supersymmetric and nonsupersymmetric solutions to the resulting 4d {Nu} = 1 supersymmetric no-scale supergravity, including some nonsupersymmetric solutions with relatively small values of W. Our examples arise on orientifolds of the hypersurfaces in WP{sub 1,1,1,1,4}{sup 4} and WP{sub 1,1,2,2,6}{sup 4}. They serve as explicit illustrations of several of the ingredients which have played a role in the recent proposals for constructing de Sitter vacua of string theory.

191 citations

Journal ArticleDOI
TL;DR: In this article, the authors show how the Seiberg-Witten solution for [script N] = 2-gauge theory, the Montonen-Olive modular invariance, and the superpotential for the Leigh-Strassler deformation can be computed in perturbation theory of the matrix model or gauge theory, even though in some cases an exact answer can also be obtained by summing up planar diagrams of matrix models.
Abstract: We analyze perturbative aspects of gauged matrix models, including those where classically the gauge symmetry is partially broken. Ghost fields play a crucial role in the Feynman rules for these vacua. We use this formalism to elucidate the fact that nonperturbative aspects of [script N] = 1 gauge theories can be computed systematically using perturbative techniques of matrix models, even if we do not possess an exact solution for the matrix model. As examples we show how the Seiberg-Witten solution for [script N] = 2 gauge theory, the Montonen-Olive modular invariance for [script N] = 1*, and the superpotential for the Leigh-Strassler deformation of [script N] = 4 can be systematically computed in perturbation theory of the matrix model or gauge theory (even though in some of these cases an exact answer can also be obtained by summing up planar diagrams of matrix models).

190 citations

Journal ArticleDOI
TL;DR: It is shown that all domain-wall solutions of gravity coupled to scalar fields for which the world-volume geometry is Minkowski or anti-de Sitter admit Killing spinors, and satisfy corresponding first-order equations involving a superpotential determined by the solution.
Abstract: We show that all domain-wall solutions of gravity coupled to scalar fields for which the world-volume geometry is Minkowski or anti-de Sitter admit Killing spinors, and satisfy corresponding first-order equations involving a superpotential determined by the solution. By analytic continuation, all flat or closed Friedmann-Lemaitre-Robertson-Walker cosmologies are shown to satisfy similar first-order equations arising from the existence of 'pseudo Killing' spinors.

190 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202344
2022115
202175
202094
201994
2018101