2d orbifolds with exotic supersymmetry

Ioannis Florakis,Iñaki García-Etxebarria,Diego Regalado,Dieter Lüst

doi:10.1007/jhep02(2018)146

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}=left(20,8right), mathcal{N}=left(24,8right), mathcal{N}=left(32,0right), mathcal{N}=left(24,24right) and mathcal{N}=left(48,0right) .

Highlights

Supersymmetry is undoubtedly one of the main ingredients of string theory
We find extra supersymmetry generators arising from twisted sectors, giving rise to exotic supersymmetry algebras
The right-movers contribute a total of (8, 8) supercharges. Adding these together with the supercharges arising from the left-movers, we find that the full theory enjoys chiral (20, 8) supersymmetry

Summary

Introduction

Supersymmetry is undoubtedly one of the main ingredients of string theory. historically, the development of string theory and supergravity originated from somewhat different paths, the strong connection between the two has become essential for our understanding and investigating their rich structure. States in the R sector (a = 1), do carry non-trivial SO(2) charge and the light cone gauge will select either the 8s or the 8c spinor, depending on the choice of μ = 0, 1 For this reason, in our writing of the partition function (3.2), we keep μ unspecified, with the understanding that a full analysis of the spectrum will require considering both the μ = 0 as well as the μ = 1 spectra, which will correspond to (propagating) states of positive and negative spacetime chirality, respectively. We shall elaborate on the counting of (N, 0) supercharges, and how the spectrum of massless propagating states organizes itself into (enhanced) chiral multiplets

Supersymmetry charges

Anomaly and B-field tadpole

Two dimensional string theories with more than 32 supercharges

Summary and further directions

GSO odd

GSO even