On the U(1)$^2$-invariant sector of dyonic maximal supergravity

TL;DR

This paper investigates a consistent truncation of a recently constructed maximally supersymmetric dyonic supergravity in four dimensions, focusing on the U(1)^2-invariant sector to understand scalar geometry and superpotentials, aiding the study of non-conformal deformations.

Contribution

It provides a detailed analysis of the U(1)^2-invariant truncation, including scalar sector geometry and superpotentials in different supergravity formulations, advancing the understanding of non-conformal deformations.

Findings

Elucidation of the scalar sector geometry.

Presentation of superpotentials in $ abla=2$ and $ abla=1$ supergravity.

Framework for studying non-conformal deformations.

Abstract

Recently a new maximally supersymmetric, dyonically gauged supergravity in four-dimenions has been constructed. This theory admits several supersymmetric AdS solutions, and a Chern- Simons-matter dual theory has been proposed for a solution with an unbroken SU(3) symmetry. The gravity side and the field theory side of the free energy computation show nice agreements at superconformal point. With a view to a study of non-conformal deformations, in this paper we study a consistent truncation of the full theory where SU(3) is broken to U(1)$^2$. We elucidate the geometry of the scalar sector, and also present the superpotentials in both $\mathcal{N} = 2$ and $\mathcal{N} = 1$ supergravity formulation.