Old and new vacua of 5D maximal supergravity

Understand

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 $D \geq 4$ having critical points with both positive and vanishing cosmological constant.
• For each vacuum we also compute the full mass spectrum.