N=2 SO(4) 7D gauged supergravity with topological mass term from 11 dimensions

TL;DR

This paper derives a consistent 11D supergravity reduction to 7D N=2 SO(4) gauged supergravity with a topological mass term, revealing new AdS7 solutions and RG flows to 6D superconformal theories.

Contribution

It presents a novel consistent reduction ansatz from 11D supergravity to 7D N=2 SO(4) gauged supergravity with a topological mass term, including new AdS7 critical points.

Findings

Existence of a maximally supersymmetric AdS7 critical point.

Construction of a consistent uplift of 7D RG flows to 11D.

Identification of dual 6D N=(1,0) superconformal field theories.

Abstract

We construct a consistent reduction ansatz of eleven-dimensional supergravity to $N=2$ $SO(4)$ seven-dimensional gauged supergravity with topological mass term for the three-form field. The ansatz is obtained from a truncation of the $S^4$ reduction giving rise to the maximal $N=4$ $SO(5)$ gauged supergravity. Therefore, the consistency is guaranteed by the consistency of the $S^4$ reduction. Unlike the gauged supergravity without topological mass having a half-supersymmetric domain wall vacuum, the resulting 7D gauged supergravity theory admits a maximally supersymmetric $AdS_7$ critical point. This corresponds to $N=(1,0)$ superconformal field theory in six dimensions. We also study RG flows from this $N=(1,0)$ SCFT to non-conformal $N=(1,0)$ Super Yang-Mills theories in the seven-dimensional framework and use the reduction ansatz to uplift this RG flow to eleven dimensions.