A Gauged Open 2-brane String in the p-brane Background

TL;DR

This paper develops a gauge theory for an open 2-brane in a p-brane background, addressing quantization challenges by embedding the model into an extended phase space using BFT formalism and tensor fields.

Contribution

It introduces a novel approach of using tensor fields to convert second class constraints into first class, extending the gauged open 2-brane model.

Findings

Successfully embedded the open 2-brane model into an extended phase space.

Provided a new method using tensor fields for constraint conversion.

Addressed quantization issues in open p-brane systems.

Abstract

In this article, we make a gauge theory from the Open p-brane system and map it into the Open 2-brane one. Due to the presence of second class constraints in this model, we encounter some problems during the procedure of quantization. In this regard, considering boundary conditions as Dirac conditions, one can drive the constrained structure of the model at first. Then, with the help of BFT formalism of constraint systems, the Open 2-brane model is embedded into an extended phase space. For this purpose, we introduce some tensor fields to convert ungauged theory into the gauged one. This is the novel part of our research, while mostly scalar and vector fields are used to convert second class constraints into first ones.