Magic N=2 supergravities from hyper-free superstrings

TL;DR

This paper constructs explicit four-dimensional type II superstring models with N=2 supersymmetry, focusing on hyper-free spectra related to exceptional supergravities, using asymmetric orbifold techniques and a twisting mechanism.

Contribution

It provides the first explicit string constructions of hyper-free N=2 models linked to the magic square supergravities, revealing their unique scalar and bosonic spectra.

Findings

Two exceptional N=2 models match the scalar content of N=6 and N=3 supergravities.

Models are built using asymmetric orbifolds with N=(4,1) world-sheet symmetry.

String reduction and oxidation connect models across dimensions.

Abstract

We show by explicit construction the existence of various four dimensional models of type II superstrings with N=2 supersymmetry, purely vector multiplet spectrum and no hypermultiplets. Among these, two are of special interest, at the field theory level they correspond to the two exceptional N=2 supergravities of the magic square that have the same massless scalar field content as pure N=6 supergravity and N=3 supergravity coupled to three extra vector multiplets. The N=2 model of the magic square that is associated to N=6 supergravity is very peculiar since not only the scalar degrees of freedom but all the bosonic massless degrees of freedom are the same in both theories. All presented hyper-free N=2 models are based on asymmetric orbifold constructions with N=(4,1) world-sheet superconformal symmetry and utilize the 2d fermionic construction techniques. The two exceptional N=2 models of the magic square are constructed via a "twisting mechanism" that eliminates the extra gravitini of the N=6 and N=3 extended supergravities and creates at the same time the extra spin-1/2 fermions and spin-1 gauge bosons which are necessary to balance the numbers of bosons and fermions. Theories of the magic square with the same amount of supersymmetry in three and five space-time dimensions are constructed as well, via stringy reduction and oxidation from the corresponding four-dimensional models.