The BRST treatment of stretched membranes

TL;DR

This paper develops a BRST-invariant framework for stretched membranes, demonstrating that their complex structure can be simplified to string-like models through perturbation techniques, and extends these results to quantum theory in 27 dimensions.

Contribution

It introduces a perturbative approach to analyze stretched membranes using BRST symmetry, showing their equivalence to string models and extending to quantum nilpotent charges.

Findings

Existence of canonical transformations simplifying BRST-charge

Reduction of membrane theory to string-like models

Extension of results to quantum nilpotent charges in 27 dimensions

Abstract

The BRST-invariant formulation of the bosonic stretched membrane is considered. In this formulation the stretched membrane is given as a perturbation around zero-tension membranes, where the BRST-charge decomposes as a sum of a string-like BRST-charge and a perturbation. It is proven, by means of cohomology techniques, that there exists to any order in perturbation theory a canonical transformation that reduces the full BRST-charge to the string-like one. It is also shown that one may extend the results to the quantum level yielding a nilpotent charge in 27 dimensions.