Research

In my free time I like to think about some of the problems fundamental physics gave us. My area of research (interest) is Quantum Field Theory, String and Supergravity Theories (and applications of AI to those).

Here, there is a list of my scientific contributions (if you have any curiosity, go to the contacts page and don’t hesitate to ask):

(Machine) Learning Supergravity Vacua

(For the PDF just ask and I will be more than happy to share it with you) In this thesis we show, how different techniques, used in various fields, ranging from pure mathematics to cryptography, AI and Optimization can be used to find supergravity vacua, namely minima of the scalar potential in supersymmetric gauge theories. We studied these theories in different space-time dimensions and with different amount of supersymmetry. We explain in detail both the physics background and the various techniques adopted. It is interesting to study these theories for their cosmological and phenomenological implications, also in light of the AdS/CFT conjecture.

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

With this work we introduced a new method in String Theory, borrowed from AI researches, to solve enormous systems of complicated quadratic equations with a huge number of variables. Solving these equations allowed us to find minima of maximal gauged supersymmetric theories in seven space-time dimensions. From the numerical results, obtained by means of CMA-ES, an optimization algorithm based on Evolutionary strategies, we developed some methods to reconstruct and obtain the analytical results. Our reconstruction techniques gave us the possibility to build completely the mass spectra.

Old and new vacua of 5D maximal supergravity

We have studied a set of theories in 5-dimensional spacetime where Supersymmetry is spontaneously broken, from the maximum amount of supersymmetry to a subset of it (depending on the cases). We found different vacua (some of them were known already, other are new), with various properties. Remarkably, (it’s the first case in space-time dimension > 3) we also found an example of a theory which contain both de Sitter vacua (with a positive cosmological constant Λ) and Minkowski vacua (Λ=0).