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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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25 Oct 2010
TL;DR: The hard way algebraic solution for the Harmonic Oscillator Supersymmetric Quantum Mechanics (SUSYQM) Shape Invariance Shape invariance.
Abstract: Traditional Quantum Mechanics - The Hard Way Algebraic Solution for the Harmonic Oscillator Supersymmetric Quantum Mechanics (SUSYQM) Shape Invariance The Generators of Supersymmetry Angular Momentum Dirac Theory and SUSYQM WKB and SWKB Scattering in Supersymmetric Quantum Mechanics Isospectral Deformations SUSYQM and Quantum Hamilton-Jacobi Theory Generating Shape Invariant Potentials Singular Superpotentials.
78 citations
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TL;DR: Surprisingly, the pattern of grand unified theory scale soft supersymmetry breaking masses are close to those found in the context of inverted hierarchy models.
Abstract: Supersymmetric grand unified models based on $\mathrm{SO}(10)$ gauge symmetry have many desirable features, including the unification of Yukawa couplings. Including $D$-term contributions to scalar masses arising from the breakdown of $\mathrm{SO}(10)$, Yukawa coupling unification only to $30%$ can be achieved in models with a positive superpotential Higgs mass. The superparticle mass spectrum is highly constrained and yields relatively light top squarks and charginos. Surprisingly, the pattern of grand unified theory scale soft supersymmetry breaking masses are close to those found in the context of inverted hierarchy models.
78 citations
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TL;DR: In this paper, the authors discuss supersymmetric $SU(2)$ gauge theory with a single matter field in the $I=3/2$ representation, which has a moduli space of exactly degenerate vacua.
Abstract: We discuss supersymmetric $SU(2)$ gauge theory with a single matter field in the $I=3/2$ representation. This theory has a moduli space of exactly degenerate vacua. Classically it is the complex plane with an orbifold singularity at the origin. There seem to be two possible candidates for the quantum theory at the origin. In both the global chiral symmetry is unbroken. The first is interacting quarks and gluons at a non-trivial infrared fixed point -- a non-Abelian Coulomb phase. The second, which we consider more likely, is a confining phase where the singularity is simply smoothed out. If this second, more likely, possibility is realized, supersymmetry will dynamically break when a tree level superpotential is added. This would be the simplest known gauge theory which dynamically breaks supersymmetry.
78 citations
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TL;DR: In this article, a class of asymptotic flat or (anti-de Sitter [(A)dS] hairy black holes in $D$-dimensional Einstein gravity coupled to a scalar with a certain scalar potential was obtained.
Abstract: We obtain a class of asymptotic flat or (anti)--de Sitter [(A)dS] hairy black holes in $D$-dimensional Einstein gravity coupled to a scalar with a certain scalar potential. For a given mass, the theory admits both the Schwarzschild-Tangherlini and the hairy black holes with different temperature and entropy, but satisfying the same first law of thermodynamics. For some appropriate choice of parameters, the scalar potential can be expressed in terms of a superpotential, and it can arise in gauged supergravities. In this case, the solutions develop a naked curvature singularity and become the spherical domain walls. Uplifting the solutions to $D=11$ or 10, we obtain solutions that can be viewed as spherical M-branes or D3-branes. We also add electric charges to these hairy black holes. All these solutions contain no scalar charges in that the first law of thermodynamics is unmodified. We also try to construct new AdS black holes carrying scalar charges, with some moderate success in that the charges are pre-fixed in the theory instead of being some continuous integration constants.
78 citations