A note on bosonic open strings in constant B field

TL;DR

This paper discusses the quantization of bosonic open strings in a constant B field, exploring their symmetries, effective metric, and the emergence of non-commutative gauge symmetry, with implications for string theory and non-commutative geometry.

Contribution

It provides a detailed analysis of the covariant quantization process and the effects of a constant B field on open strings, highlighting new non-commutative gauge symmetries.

Findings

Identification of the effective metric induced by the B field

Emergence of non-commutative gauge symmetry in the low-energy spectrum

Analysis of space-time symmetries in the presence of a B field

Abstract

We sketch the main steps of old covariant quantization of bosonic open strings in a constant $B$ field background. We comment on its space-time symmetries and the induced effective metric. The low-energy spectrum is evaluated and the appearance of a new non-commutative gauge symmetry is addressed.