Aspects of N=2 Super-W_n Strings

TL;DR

This paper constructs N=2 super-W_{n+1} strings for any n ≥ 2, providing their complete physical spectrum and new realizations of the super-W_{n+1} algebras using multiple super energy-momentum tensors and complex superfields.

Contribution

It introduces a general method to realize super-W_{n+1} algebras with multiple super energy-momentum tensors and superfields, extending previous algebraic constructions.

Findings

Complete physical spectrum for N=2 super-W_{n+1} strings

New realizations of super-W_{n+1} algebras with multiple tensors and superfields

Applicable for arbitrary n ≥ 2

Abstract

We construct $N=2$ super-$W_{n+1}$ strings and obtain the complete physical spectrum, for arbitrary $n \ge 2$. We also derive more general realisations of the super-$W_{n+1}$ algebras in terms of $k$ commuting $N=2$ super energy-momentum tensors and $n-k$ pairs of complex superfields, with $0\le k \le [\ft{n+1}{2}]$.