Deformation Quantization of Bosonic Strings

TL;DR

This paper explores the deformation quantization approach for bosonic strings, demonstrating that the light-cone gauge simplifies the process and allows for explicit derivation of key string theory features.

Contribution

It introduces a deformation quantization framework for bosonic strings, highlighting the advantages of the light-cone gauge and oscillator variables for analysis.

Findings

Mass spectrum derived within deformation quantization

Propagators formulated in the new scheme

Virasoro algebra structure established

Abstract

Deformation quantization of bosonic strings is considered. We show that the light-cone gauge is the most convenient classical description to perform the quantization of bosonic strings in the deformation quantization formalism. Similar to the field theory case, the oscillator variables greatly facilitates the analysis. The mass spectrum, propagators and the Virasoro algebra are finally described within this deformation quantization scheme.