Real Tachyon Vacuum Solution without Square Roots

TL;DR

This paper introduces a new real tachyon vacuum solution in open bosonic string field theory that avoids complex square root calculations, confirming its consistency and supporting Sen's conjecture.

Contribution

It presents a novel tachyon vacuum solution that simplifies calculations by eliminating the need for square roots in the wedge algebra.

Findings

Solution satisfies the equation of motion

Supports no cohomology

Energy matches Sen's conjecture prediction

Abstract

In this note we present a real tachyon vacuum solution for open bosonic string field theory which does not require computing square roots of states in the wedge algebra. We study its algebraic structure, prove the equation of motion and show that the solution supports no cohomology. Finally we show that its energy is in agreement with the value predicted by Sen's conjecture.