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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 a R-symmetry can only be gauged in local and not in global supersymmetry and the anomaly cancellation conditions for the gauged R-Symmetry were determined.
76 citations
TL;DR: In this article, the complete superspace formulation of general non-abelian N = 2 supersymmetric Chern-Simons theories is discussed and the anomalous dimensions and beta-functions of the N =2 super-ymmetric nonabelian Chern-simons theory, when the self-interactions of scalar multiplets are absent.
76 citations
TL;DR: For supersymmetric QCD with SU(Nc) gauge group and Nf flavors, it is known that instantons generate a superpotential if nf = Nc−1 and deform the moduli space of vacua if Nf>Nc.
Abstract: In supersymmetric QCD with SU(Nc) gauge group and Nf flavors, it is known that instantons generate a superpotential if Nf = Nc−1 and deform the moduli space of vacua if Nf = Nc. But the role of instantons has been unclear for Nf>Nc. In this paper, we demonstrate that for Nf>Nc, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(Nf−Nc)+4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for Nf = Nc and Nf = Nc−1. For Nf = Nc, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.
76 citations
TL;DR: In this article, the nonperturbative superpotential in F-theory compactification to four dimensions on a complex three-fold rational elliptic surface is computed, where $S$ is a rational ellipsis.
Abstract: We compute the non-perturbative superpotential in $F$-theory compactification to four dimensions on a complex three-fold $¶^1\times S$, where $S$ is a rational elliptic surface. In contrast to examples considered previously, the superpotential in this case has interesting modular properties; it is essentially an $E_8$ theta function.
76 citations
TL;DR: In this paper, the deformation of S 7 gives rise to nontrivial renormalization group flow in a three-dimensional boundary super conformal field theory from N =8, SO(8) invariant UV fixed point to N =2, SU(3)×U(1) IR fixed point.
76 citations