$N=1$ from $N=2$ Superstrings

TL;DR

This paper proves that certain $N=2$ superstrings are equivalent to $N=1$ superstrings by constructing a transformation linking their BRST operators, simplifying the understanding of their relationship.

Contribution

It provides a straightforward proof of the equivalence between specific $N=2$ and $N=1$ superstrings through a novel similarity transformation.

Findings

$N=2$ superstrings are shown to be equivalent to $N=1$ superstrings.

A similarity transformation relates their BRST operators.

The transformation separates the string into $N=1$ and topological sectors.

Abstract

We give a simple proof that a particular class of $N=2$ superstrings are equivalent to the $N=1$ superstrings. This is achieved by constructing a similarity transformation which transforms the $N=2$ BRST operators into a direct sum of the BRST operators for the $N=1$ string and topological sectors.