Instanton induced vacua from String theory?

Abstract

We study the one-loop effects on four-dimensional N=1 supergravity in four dimensions with one dimension compactified on a spatial circle. The corresponding non-trivial topologies contribute to the gravitational path integral and give rise to an infrared emergent scale. Superpotential is generated from instanton effects which eventually decompactifies the circle. We further extend the study by adding chiral and vector multiplet to the theory. We expect such multiplets to be present in String theory compactifications. This addition generates new vacua in the three-dimensional potential. Hence, presence of these multiplets in the theory could produce new vacua.