Level truncation analysis of a simple tachyon vacuum solution in cubic superstring field theory

TL;DR

This paper uses level truncation in cubic superstring field theory to evaluate the tachyon vacuum energy, confirming predictions of Sen's conjecture with numerical agreement.

Contribution

It demonstrates that level truncation can accurately compute vacuum energy in superstring field theory, supporting Sen's conjecture.

Findings

Vacuum energy matches Sen's conjecture predictions.

Level truncation scheme is effective for superstring field theory.

Numerical results show convergence towards expected values.

Abstract

We evaluate the vacuum energy of a simple tachyon vacuum solution using the level truncation scheme in cubic superstring field theory. By truncating the standard Virasoro $L_0$ level expansion of the solution, we obtain a value of the vacuum energy in agreement with Sen's first conjecture.