Marginal Deformations and Classical Solutions in Open Superstring Field Theory

TL;DR

This paper constructs classical solutions in open superstring field theory that correspond to marginal boundary deformations, showing they have zero vacuum energy and encode background Wilson lines, with invariance under supersymmetry.

Contribution

It introduces a new class of classical solutions in Berkovits' superstring field theory linked to marginal deformations, with explicit Fock space expressions and supersymmetry invariance.

Findings

Vacuum energy vanishes for the solutions

Solutions encode background Wilson lines

Solutions are invariant under space-time supersymmetry

Abstract

We construct a class of classical solutions in the Berkovits' open superstring field theory. The resulting solutions correspond to marginal boundary deformations in conformal field theory. The vacuum energy vanishes exactly for the solutions. Investigating the theory expanded around one of the solutions, we find that it reflects the effect of background Wilson lines. The solution has a well-defined Fock space expression and it is invariant under space-time supersymmetry transformation.