Renormalization schemes for SFT solutions

TL;DR

This paper explores the variety of renormalization schemes in open string field theory, revealing that different schemes can produce multiple solutions from the same marginal operator due to scheme freedom.

Contribution

It demonstrates that the renormalization scheme choice leads to a multidimensional space of solutions, challenging the uniqueness of solutions in the KO framework.

Findings

Multiple solutions arise from a single marginal operator due to scheme freedom.

The space of solutions is multidimensional, not unique.

Renormalization scheme choice affects the solutions in SFT.

Abstract

In this paper, we examine the space of renormalization schemes compatible with the Kiermaier and Okawa [arXiv:0707.4472] framework for constructing Open String Field Theory solutions based on marginal operators with singular self-OPEs. We show that, due to freedom in defining the renormalization scheme which tames these singular OPEs, the solutions obtained from the KO framework are not necessarily unique. We identify a multidimensional space of SFT solutions corresponding to a single given marginal operator.