Membrane's Discrete Spectrum and BRST Residual Symmetry in the Conformal Light Cone Gauge

TL;DR

This paper proves the discrete spectrum of the bosonic membrane in flat spacetime, incorporating BRST residual symmetry, which supports the quantum consistency of extended bosonic models.

Contribution

It provides a direct proof of spectrum discreteness including BRST residual symmetry in a discretized membrane model, advancing understanding of membrane quantization.

Findings

Spectrum of bosonic membrane is discrete in flat spacetime

BRST residual symmetry is explicitly incorporated

Effective action invariant under BRST residual symmetry

Abstract

In this work we present a proof of the discreteness of the spectrum for bosonic membrane, in a flat minkowski space. This may be useful to show the quantum mechanical consistence of others bosonics extended models. This proof includes the BRST residual symmetry and was directly performed over the discretized membrane model. The BRST residual invariant effective action is explicity constructed.