Supersymmetric Protection and the Swampland

Understand

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=1 theories, and if the prepotential can be exactly cubic in 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.