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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 superpotential can vanish exactly in four-dimensional (4D) theories, and the prepotential can be exactly cubic in cubic 4D theories.
Abstract: For certain terms in the action, supersymmetry can forbid an infinite number of possible contributions. We study whether such protection can occur in quantum gravity even without sufficient supersymmetry. We focus on whether the superpotential can vanish exactly in four-dimensional
$$ \mathcal{N} $$
= 1 theories, and if the prepotential can be exactly cubic in
$$ \mathcal{N} $$
= 2 theories. We investigate these questions in string theory and find that for almost all known string constructions the corrections allowed by supersymmetry do occur. However, we do find some special settings where all the corrections can be proven to vanish. These examples all share the common feature that they are related, through a certain orbifolding by a discrete gauged R-symmetry element, to a higher supersymmetric theory. Motivated by these results, we propose a Swampland criterion that any theory which enjoys such protection beyond its realised supersymmetry must have a direct connection to a higher supersymmetric theory.
45 citations
TL;DR: In this paper, a generic massless supersymmetric theory involving chiral superfields is shown to possess local quantum corrections of the form of an integral over a chiral subspace of superspace.
45 citations
TL;DR: In this paper, a necessary and sufficient condition for a superpotential to be shape invariant was proposed, which automatically gives zero SWKB corrections, and the supersymmetric WKB approximation was shown to be exact.
45 citations
TL;DR: In this paper, the general solution of Chong, Cvetic, Lu and Pope for nonextremal rotating charged black holes in five-dimensional minimal gauged supergravity, with a negative cosmological constant and with the Chern-Simons coefficient {nu}=1, admits a simple description in a Kerr-Schild type framework with two scalar functions.
Abstract: We show that the general solution of Chong, Cvetic, Lu and Pope for nonextremal rotating charged black holes in five-dimensional minimal gauged supergravity, or equivalently in the Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant and with the Chern-Simons coefficient {nu}=1, admits a simple description in a Kerr-Schild type framework with two scalar functions. Next, assuming this framework as an ansatz, we obtain new analytic solutions for slowly rotating charged black holes in the Einstein-Maxwell-Chern-Simons theory with {nu}{ne}1. Using a covariant superpotential derived from Noether identities within the Katz-Bicak-Lynden-Bell approach, we calculate the mass and angular momenta for the general supergravity solution as well as for the slowly rotating solution with two independent rotation parameters. For the latter case, we also calculate the gyromagnetic ratios and obtain simple analytic formulas, involving both the parameters of the black holes and the Chern-Simons coefficient.
45 citations
TL;DR: A supersymmetric renormalizable theory based on the SO(10) and Higgs system 10 with no scale supergravity can lead to a Starobinsky kind of potential for inflation as discussed by the authors.
45 citations