Evidence for a family of SO(8) gauged supergravity theories

TL;DR

This paper classifies a one-parameter family of inequivalent SO(8) gauged supergravity theories, revealing how their couplings and potentials depend on this parameter and discussing implications for M-theory and dual gauge theories.

Contribution

It demonstrates the existence of a continuous family of SO(8) gauged supergravity models using tensor classifiers, extending the understanding of their structure and dualities.

Findings

Identifies a one-parameter family of inequivalent theories.

Shows the parameter affects couplings and scalar potential.

Discusses potential M-theory uplift and dual gauge theory implications.

Abstract

In this note we discuss the classification of duality orbits of N = 8 gauged supergravity models. Using tensor classifiers, we show that there is a one-parameter family of inequivalent SO(8) gauged supergravity theories. We briefly discuss the couplings of such models and show that, although the maximally symmetric vacuum has the same quadratic spectrum, the supersymmetry transformations, the couplings and the scalar potential are parameter dependent. We also comment on the possible M-theory uplift and on the meaning of the parameter for the dual gauge theories.