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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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CERN1
TL;DR: In this article, the authors studied aspects of Calabi-Yau four-folds as compactification manifolds of F-theory, using mirror symmetry of toric hypersurfaces.
155 citations
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TL;DR: In this paper, the authors studied the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension 2 ≤ d ≤ 4.
Abstract: We study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension 2 ≤ d ≤ 4. We show how superconformal algebras with four Poincare supercharges can be treated in a formalism applicable to any, in principle continuous, value of d and use this to construct the superconformal blocks for any d ≤ 4. We then use numerical bootstrap techniques to derive upper bounds on the conformal dimension of the first unprotected operator appearing in the OPE of a chiral and an anti-chiral superconformal primary. We obtain an intriguing structure of three distinct kinks. We argue that one of the kinks smoothly interpolates between the d = 2, $$ \mathcal{N}=\left(2,\;2\right) $$
minimal model with central charge c = 1 and the theory of a free chiral multiplet in d = 4, passing through the critical Wess-Zumino model with cubic superpotential in intermediate dimensions.
155 citations
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TL;DR: In this article, the authors combine the WMAP measurements of the cosmic background radiation with those from the anomalous magnetic moment of the muon and the b→sγ branching fraction in a χ2 determination over the minimal supergravity model (mSUGRA) parameter space.
Abstract: Recent results from the WMAP measurements of the cosmic background radiation yield very tight constraints on the relic density of supersymmetric cold dark matter. We combine the WMAP constraint with those from the anomalous magnetic moment of the muon and the b→sγ branching fraction in a χ2 determination over the minimal supergravity model (mSUGRA) parameter space. The most favoured region of mSUGRA parameter space for almost all tanβ values is the hyperbolic branch/focus point (HB/FP) region, with moderate to small values of superpotential Higgs mass |μ| and large GUT scale scalar mass m 0 . These favoured regions of mSUGRA parameter space can be probed by direct search experiments for supersymmetric dark matter. An exception to the HB/FP region can occur at very large tanβ with positive μ values, where wide regions allow resonance annihilation of neutralinos in the early Universe.
154 citations
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TL;DR: In this paper, the authors studied the BPS spectra of complete quantum field theories in four dimensions and showed that all asymptotically free examples, Argyres-Douglas models, and theories defined by punctured spheres and tori have a chamber with finitely many BPS states.
Abstract: We study the BPS spectra of \({\mathcal{N}=2}\) complete quantum field theories in four dimensions. For examples that can be described by a pair of M5 branes on a punctured Riemann surface we explain how triangulations of the surface fix a BPS quiver and superpotential for the theory. The BPS spectrum can then be determined by solving the quantum mechanics problem encoded by the quiver. By analyzing the structure of this quantum mechanics we show that all asymptotically free examples, Argyres-Douglas models, and theories defined by punctured spheres and tori have a chamber with finitely many BPS states. In all such cases we determine the spectrum.
153 citations
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TL;DR: In this article, an extensive search for a class of flipped SU(5) models built within the free fermionic formulation of the heterotic string is presented, and a set of algorithms which constitute the basis for a computer program capable of generating systematically the massless spectrum and the superpotential of all possible models within the class we consider.
152 citations