Quantization of Bosonic String Model in 26+2-dimensional Spacetime

TL;DR

This paper explores the quantization of a bosonic string model with additional gauge symmetries, revealing its consistent formulation in a 26+2-dimensional spacetime with two time-like coordinates.

Contribution

It introduces a consistent quantization approach for a bosonic string model with extended gauge invariances in higher-dimensional spacetime.

Findings

Model is consistent in 26+2 dimensions.

Quantization uses BRST and light-cone gauge methods.

Two time-like coordinates are necessary for consistency.

Abstract

We investigate the quantization of the bosonic string model which has a local U(1)_V * U(1)_A gauge invariance as well as the general coordinate and Weyl invariance on the world-sheet. The model is quantized by Lagrangian and Hamiltonian BRST formulations {\'a} la Batalin, Fradkin and Vilkovisky and noncovariant light-cone gauge formulation. Upon the quantization the model turns out to be formulated consistently in 26+2-dimensional background spacetime involving two time-like coordinates.