Quantum 3D Tensionless String in Light-cone Gauge

TL;DR

This paper investigates the quantization of tensionless closed strings in three dimensions within the light-cone gauge, demonstrating the absence of space-time conformal anomalies and analyzing the string spectrum.

Contribution

It extends the analysis of anomaly-free tensionless p-branes to 3D strings in light-cone gauge and explores their spectral properties.

Findings

No space-time conformal anomaly in 3D tensionless strings.

Spectrum analysis of tensionless 3D closed strings.

Confirmation of anomaly-free quantization in this setting.

Abstract

We discuss the quantization of a tensionless closed string in light-cone gauge. It is known that by using a Hamiltonian BRST scheme the tensionless p-branes have no Lorentz anomaly in any space-time dimensions and no anomaly of space-time conformal symmetry in two dimensions. In this paper, we show that tensionless 3d strings in light-cone gauge also have no anomaly of space-time conformal symmetry. We also study the spectrum of a tensionless 3d closed string.