Conservation laws and tachyon potentials in the sliver frame

TL;DR

This paper develops conservation laws in the sliver frame of open string field theory, enabling the computation of tachyon condensation actions without gauge fixing, thus advancing analytical tools in string field theory.

Contribution

It derives conservation laws in the sliver $\\mathcal{L}_0$-basis and applies them to compute the open string field action relevant to tachyon condensation without gauge constraints.

Findings

Conservation laws in the sliver frame are successfully derived.

The open string field action for tachyon condensation is computed without gauge fixing.

The method provides a new analytical approach in string field theory.

Abstract

Conservation laws have provided an elegant and efficient tool to evaluate the open string field theory interaction vertex, they have been originally implemented in the case where the string field is expanded in the Virasoro basis. In this work we derive conservation laws in the case where the string field is expanded in the so-called sliver $\mathcal{L}_0$-basis. As an application of these conservation laws derived in the sliver frame, we compute the open string field action relevant to the tachyon condensation and in order to present not only an illustration but also an additional information, we evaluate the action without imposing a gauge choice.