New methods for old problems: vacua of maximal D=7 supergravities

Finding vacua of supergravity theories is an outstanding problem which has been tackled in several ways, and with this work we add a new method to the puzzle. We analyse the scalar sector of maximal gauged supergravity theories in seven space-time dimensions. We look for vacua of the theory by varying the embedding tensor, instead of directly minimising the scalar potential. The set of quadratic constraints arising from this procedure has been solved by means of Evolution Strategies optimisation techniques, also adopted in Artificial Intelligence studies. We develop some methods to reconstruct and obtain analytical results starting from numerical outcomes, thus obtaining the complete mass spectra. In addition to some of the known vacua, we also obtain two new Minkowski vacua.

Automated summary

The study focuses on the vacua of maximal gauged supergravity theories in seven space-time dimensions, utilizing a new method of varying the embedding tensor to search for vacua. Evolution Strategies optimization techniques are used to solve the quadratic constraints resulting from this method, and analytical results are obtained from numerical outcomes, providing a complete mass spectra.