Quantization of the Superstring with Manifest U(5) Super-Poincare Invariance

TL;DR

This paper presents a superstring quantization method that explicitly maintains a U(5) subgroup of super-Poincaré invariance, incorporating N=2 superconformal symmetry and extending previous covariant approaches.

Contribution

It introduces a novel quantization approach for superstrings that preserves a U(5) symmetry subgroup and enhances the covariant Green-Schwarz formalism.

Findings

Maintains manifest U(5) super-Poincaré invariance

Incorporates critical N=2 superconformal invariance

Provides a covariant extension of the light-cone description

Abstract

The superstring is quantized in a manner which manifestly preserves a U(5) subgroup of the (Wick-rotated) ten-dimensional super-Poincar\'e invariance. This description of the superstring contains critical N=2 worldsheet superconformal invariance and is a natural covariantization of the U(4)-invariant light-cone Green-Schwarz description.