On Nontrivial Solutions around a Marginal Solution in Cubic Superstring Field Theory

TL;DR

This paper constructs and analyzes nontrivial solutions in cubic superstring field theory around a marginal solution, showing their vacuum energies match the original theory and exploring gauge invariant overlaps.

Contribution

It extends the KBc algebra to construct solutions around a marginal solution in superstring field theory, revealing their vacuum energies and gauge overlaps.

Findings

Vacuum energies match those of original solutions.

Vacuum energy for the marginal solution vanishes.

Gauge invariant overlaps are deformed similarly to bosonic case.

Abstract

We construct tachyon vacuum and half-brane solutions, using an extension of KBc algebra, in the theory around a type of identity-based marginal solutions in modified cubic superstring field theory. With explicit computations, we find that their vacuum energies are the same as those of corresponding solutions around the original theory. It implies that the vacuum energy for the identity-based marginal solution vanishes although straightforward computation of it is subtle. We also evaluate the gauge invariant overlaps for those nontrivial solutions. The values for them are deformed according to the marginal solution in the same way as the case of bosonic string field theory.