Classical Solutions and Order of Zeros in Open String Field Theory

TL;DR

This paper constructs and analyzes new classical solutions in open string field theory using holomorphic functions with higher order zeros, providing evidence they may represent the tachyon vacuum.

Contribution

It introduces a class of solutions with higher order zeros and investigates their properties, including cohomology and vacuum energy, as potential tachyon vacua.

Findings

New solutions with higher order zeros are viable candidates for the tachyon vacuum.

Numerical analysis supports the non-triviality of these solutions.

Cohomology calculations suggest these solutions describe the vacuum state.

Abstract

Earlier an analytic approach is proposed for classical solutions describing tachyon vacuum in open string field theory. Based on the approach, we construct a certain class of classical solutions written in terms of holomorphic functions with higher order zeros. Taking the simplest among the new classical solutions, we study the cohomology of the new BRS charge and make a numerical analysis of the vacuum energy. The results indicate that the new non-trivial solution is another analytic candidate for the tachyon vacuum.