Continuous Virasoro algebra in open string field theory

TL;DR

This paper derives a continuous Virasoro algebra in open string field theory using conformal field theory techniques, providing explicit mode expansions and a modified BRST charge.

Contribution

It introduces a novel continuous Virasoro algebra framework in open string field theory based on the Takahashi--Tanimoto solution.

Findings

Derived continuous Virasoro algebra from the kinetic operator.

Provided mode expansions of Virasoro generators.

Constructed a modified BRST charge compatible with the algebra.

Abstract

It is known that the Takahashi--Tanimoto identity-based solution in open string field theory derives a kinetic operator which is a sum of twisted Virasoro generators. Applying the infinite circumstance description of conformal field theory, we derive continuous Virasoro algebra associated with the kinetic operator. Mode expansions of Virasoro generators and the modified BRST charge are given.