Supersymmetric protection and the Swampland

Yazar:: Eran Palti, Cumrun Vafa, Timo Weigand

Materyal Türü: Article
Baskı/Yayın Bilgisi: SpringerOpen 2020-06-01

Diğer Bilgiler

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 N $$ \mathcal{N} $$ = 1 theories, and if the prepotential can be exactly cubic in N $$ \mathcal{N} $$ = 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.