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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 paper, it was shown that instantons generate a superpotential in supersymmetric QCD with $N$ colors and $N\ensuremath{-}1$ flavors.
Abstract: It is shown that instantons generate a superpotential in supersymmetric QCD with $N$ colors and $N\ensuremath{-}1$ flavors.
180 citations
TL;DR: In this paper, the Fayet-Iliopoulos conjecture of possible equivalence between the string scale M S and the minimal supersymmetric standard model unification scale M U ≈ 2.5×10 16 GeV is considered in the context of string models.
179 citations
TL;DR: In this paper, a detailed analysis of instanton induced fermion two-point couplings in four-dimensional string vacua with intersecting $D6$-branes is presented.
Abstract: We perform a detailed conformal field theory analysis of $D2$-brane instanton effects in four-dimensional type IIA string vacua with intersecting $D6$-branes. In particular, we explicitly compute instanton induced fermion two-point couplings which play the role of perturbatively forbidden Majorana mass terms for right-handed neutrinos or MSSM $\ensuremath{\mu}$ terms. These results can readily be extended to higher-dimensional operators. In concrete realizations of such nonperturbative effects, the Euclidean $D2$-brane has to wrap a rigid, supersymmetric cycle with strong constraints on the zero-mode structure. Their implications for type IIA compactifications on the ${T}^{6}/({\mathbb{Z}}_{2}\ifmmode\times\else\texttimes\fi{}{\mathbb{Z}}_{2})$ orientifold with discrete torsion are analyzed. We also construct a local supersymmetric GUT-like model allowing for a class of Euclidean $D2$-branes whose fermionic zero modes meet all the constraints for generating Majorana masses in the phenomenologically allowed regime. Together with perturbatively realized Dirac masses, these nonperturbative couplings give rise to the seesaw mechanism.
177 citations
TL;DR: In this paper, the authors established general properties of supersymmetric flow equations and of the superpotential of five-dimensional N=2 gauged supergravity coupled to vector multiplets and hypermultiplets.
Abstract: We establish general properties of supersymmetric flow equations and of the superpotential of five-dimensional N=2 gauged supergravity coupled to vector multiplets and hypermultiplets. We provide necessary and sufficient conditions for BPS domain walls and find a set of algebraic attractor equations for N=2 critical points. As an example we describe in detail the gauging of the universal hypermultiplet and a vector multiplet. We study a two-parameter family of superpotentials with supersymmetric AdS critical points and we find, in particular, an N=2 embedding for the UV-IR solution of Freedman, Gubser, Pilch, and Warner of the N=8 theory. We comment on the relevance of these results for brane world constructions.
174 citations
TL;DR: In this paper, the superpotential and the gauge kinetic terms are holomorphic and can be determined exactly in the variuos phases of supersymmetric field theories in confining, Coulomb and Higgs phases.
174 citations