On Asymmetric Orbifolds and the D=5 No-modulus Supergravity

TL;DR

This paper investigates whether asymmetric orbifolds can reproduce the massless spectrum of D=5 supergravity without moduli, concluding they cannot, and provides classifications of relevant momentum-winding lattices.

Contribution

It demonstrates the impossibility of constructing such orbifolds with the desired spectrum and classifies all relevant momentum-winding lattices for D=4, N=4 pure supergravity.

Findings

No asymmetric orbifold models match the D=5 supergravity spectrum.

Supergravity arguments explain the spectrum mismatch.

All possible momentum-winding lattices for D=4, N=4 pure supergravity are listed.

Abstract

We examine whether any type II asymmetric orbifolds have the same massless spectrum as the dimensional reduction of D=5 simple supergravity, which, besides the eleven-dimensional supergravity, is the only known supergravity above four dimensions with no moduli. We attempt to construct such models by further twisting the orbifolds which yield D=4, N=4 pure supergravity to find that, unfortunately, none of the models have that spectrum. We provide supergravity arguments explaining why this is so. As a by-product, we list all possible momentum-winding lattices that give D=4, N=4 pure supergravity.