Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity

TL;DR

This paper explores supersymmetric solutions in seven-dimensional N=2 gauged supergravity with matter, identifying new vacua, interpolating solutions, and their uplift to M-theory, revealing the structure of these solutions and their limitations.

Contribution

It provides new supersymmetric solutions in 7D N=2 gauged supergravity, analyzes their properties, and discusses their uplift to M-theory, extending previous classifications.

Findings

Existence of two N=2 supersymmetric AdS_7 vacua with different symmetries.

Construction of solutions interpolating between asymptotic AdS_7 geometries.

Uplift of solutions to eleven-dimensional M-theory for specific gauge couplings.

Abstract

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$ symmetry and admits two $N=2$ supersymmetric $AdS_7$ vacua with $SO(4)$ and $SO(3)_{\textrm{diag}}\subset SO(3)\times SO(3)$ symmetries. We consider solutions interpolating between two asymptotically locally $AdS_7$ geometries in the presence of a three-form field. For a particular value of the two $SO(3)$ gauge coupling constants, the $SO(3)_{\textrm{diag}}$ supersymmetric $AdS_7$ vacuum does not exist, but the solutions can be uplifted to eleven dimensions by a known reduction ansatz. We also study solutions of this type and their embedding in M-theory. We further extend these solutions to include the $SO(3)_{\textrm{diag}}$ gauge fields and argue that, in general, this generalization does not lead to supersymmetric solutions.