Complete construction of magical, symmetric and homogeneous N=2 supergravities as double copies of gauge theories

TL;DR

This paper demonstrates how to construct N=2 supergravity theories, including magical, symmetric, and homogeneous types, as double copies of gauge theories using color/kinematics duality, with explicit amplitude calculations and UV analysis.

Contribution

It provides a systematic method to obtain various N=2 supergravities as double copies of gauge theories, including explicit amplitude computations and UV behavior analysis.

Findings

Double copy construction reproduces magical supergravities for specific dimensions.

Explicit scattering amplitudes are computed for these supergravities.

UV behavior at one loop is analyzed, revealing insights into their quantum properties.

Abstract

We show that scattering amplitudes in magical, symmetric or homogeneous N=2 Maxwell-Einstein supergravities can be obtained as double copies of two gauge theories, using the framework of color/kinematics duality. The left-hand-copy is N=2 super-Yang-Mills theory coupled to a hypermultiplet, whereas the right-hand-copy is a non-supersymmetric theory that can be identified as the dimensional reduction of a D-dimensional Yang-Mills theory coupled to P fermions. For generic D and P, the double copy gives homogeneous supergravities. For P=1 and D=7,8,10,14, it gives the magical supergravities. We compute explicit amplitudes, discuss their soft limit and study the UV-behavior at one loop.