Symmetries between Untwisted and Twisted Strings on Asymmetric Orbifolds

TL;DR

This paper explores symmetries linking untwisted and twisted strings on asymmetric orbifolds, revealing models with intertwining currents and supersymmetry properties unique to asymmetric cases.

Contribution

It provides a catalog of asymmetric orbifold models with intertwining currents and supersymmetry between string states, highlighting properties distinct from symmetric orbifolds.

Findings

Identification of models with intertwining currents

Presence of supersymmetry between untwisted and twisted states

Unique properties inherent to asymmetric orbifolds

Abstract

We study symmetries between untwisted and twisted strings on asymmetric orbifolds. We present a list of asymmetric orbifold models to possess intertwining currents which convert untwisted string states to twisted ones, and vice versa. We also present a list of heterotic strings on asymmetric orbifolds with supersymmetry between untwisted and twisted string states. Some of properties inherent in asymmetric orbifolds, which are not shared by symmetric orbifolds, are pointed out.