Twin Supergravities from Yang-Mills Squared

TL;DR

This paper explores the construction of twin supergravity theories with different supersymmetries using Yang-Mills squared methods, introducing new theories and matter couplings via double-copy techniques.

Contribution

It demonstrates the generation of new twin supergravity theories from Yang-Mills multiplet tensoring, including previously unknown matter-coupled cases in various dimensions.

Findings

New matter-coupled twin supergravities in D=3,5,6 and D=4 with N_- = 1.

Introduction of bi-fundamental scalars in double-copy construction.

Multiple factorizations into super Yang-Mills-matter theories for certain supergravities.

Abstract

We consider `twin supergravities' - pairs of supergravities with $\mathcal{N}_+$ and $\mathcal{N}_-$ supersymmetries, $\mathcal{N}_+>\mathcal{N}_-$, with identical bosonic sectors - in the context of tensoring super Yang-Mills multiplets. It is demonstrated that the pairs of twin supergravity theories are related through their left and right super Yang-Mills factors. This procedure generates new theories from old. In particular, the matter coupled $\mathcal{N}_-$ twins in $D=3,5,6$ and the $\mathcal{N}_-=1$ twins in $D=4$ have not, as far as we are aware, been obtained previously using the double-copy construction, adding to the growing list of double-copy constructible theories. The use of fundamental matter multiplets in the double-copy construction leads us to introduce a bi-fundamental scalar that couples to the well-known bi-adjoint scalar field. It is also shown that certain matter coupled supergravities admit more than one factorisation into left and right super Yang-Mills-matter theories.