2d orbifolds with exotic supersymmetry

TL;DR

This paper explores two-dimensional string theories from asymmetric orbifold compactifications, revealing new exotic supersymmetry algebras with unprecedented numbers of supercharges.

Contribution

It identifies novel cases of exotic supersymmetry in 2D theories, expanding the understanding of supersymmetry structures in string compactifications.

Findings

Discovery of new supersymmetry algebras with up to 48 supercharges

Identification of extra supersymmetry generators from twisted sectors

Expansion of known supersymmetry possibilities in 2D string theories

Abstract

We analyse various two dimensional theories arising from compactification of type II and heterotic string theory on asymmetric orbifolds. We find extra supersymmetry generators arising from twisted sectors, giving rise to exotic supersymmetry algebras. Among others we discover new cases with a large number of supercharges, such as $\mathcal{N}=(20,8)$, $\mathcal{N}=(24,8)$, $\mathcal{N}=(32,0)$, $\mathcal{N}=(24,24)$ and $\mathcal{N}=(48,0)$.