Tensionless Tales of Compactification

TL;DR

This paper investigates the properties of tensionless bosonic string theory compactified on a circle, analyzing different quantum vacua and their mass spectra through canonical quantization at both classical and quantum levels.

Contribution

It introduces three distinct quantum vacua in tensionless string compactification and derives their mass spectra, expanding understanding of tensionless string dynamics.

Findings

Identified three inequivalent quantum vacua for tensionless strings.

Derived the mass spectrum for each vacuum using canonical quantization.

Analyzed the properties of these vacua and their implications for string theory.

Abstract

We study circle compactifications of tensionless bosonic string theory, both at the classical and the quantum level. The physical state condition for different representations of BMS$_3$, the worldsheet residual gauge symmetry for tensionless strings, admits three inequivalent quantum vacua. We obtain the compactified mass spectrum in each of these vacua using canonical quantization and explicate their properties.