Old and new vacua of 5D maximal supergravity

We look for critical points with U(2) residual symmetry in 5-dimensional maximally supersymmetric gauged supergravity, by varying the embedding tensor, rather than directly minimizing the scalar potential. We recover all previously known vacua and we find four new vacua, with different gauge groups and cosmological constants. We provide the first example of a maximal supergravity model in D >= 4 having critical points with both positive and vanishing cosmological constant. For each vacuum we also compute the full mass spectrum. All results are analytic.

Automated summary

In 5-dimensional maximally supersymmetric gauged supergravity, critical points with U(2) residual symmetry were identified through varying the embedding tensor instead of directly minimizing the scalar potential. Four new vacua with different gauge groups and cosmological constants were discovered, in addition to recovering all previously known vacua. The first example of a maximal supergravity model in D >= 4 having critical points with both positive and vanishing cosmological constant was provided, with the full mass spectrum computed for each vacuum.