Generating Erler-Schnabl-type Solution for Tachyon Vacuum in Cubic Superstring Field Theory

TL;DR

This paper demonstrates how trivial-looking identity-based solutions in cubic superstring field theory can be gauge-transformed into known solutions that accurately describe the tachyon vacuum, confirming their physical significance.

Contribution

It introduces a new set of identity-based solutions that, through gauge transformation, yield Erler-Schnabl-type solutions for tachyon condensation in superstring field theory.

Findings

Gauge transformation reveals non-trivial solutions from trivial identity-based solutions.

The solutions reproduce the D-brane tension accurately.

The approach clarifies the role of seemingly trivial solutions in string field theory.

Abstract

We study a new set of identity-based solutions to analyze the problem of tachyon condensation in open bosonic string field theory and cubic superstring field theory. Even though these identity-based solutions seem to be trivial, it turns out that after performing a suitable gauge transformation, we are left with the known Erler-Schnabl-type solutions which correctly reproduce the value of the D-brane tension. This result shows explicitly that how a seemingly trivial solution can generate a non-trivial configuration which precisely represents to the tachyon vacuum.