Geometrical engineering of QFTs from String Theory is a very rich area of research. The dream is to recover the Standard Model of Particle Physics (more generally some its supersymmetric version) from String Theory using intersecting branes and the tools of holography (extension of the standard AdS/CFT correspondence) . In these theories an important parameter is the superconformal central charge; in my contribution “2-symplexes and superconformal central charges” (published on PLB), I propose a new computational method in terms of 2-symplexes which reduce the computational time by approximately 80%
In the search of a high energy theory to describe our world at the smallest scale, an important role is played by IR duality: that is, the fact that two completely different theory which describe different physics at an higher energy scale describe the same physics at smaller energy scale. In the realm of Geometrical engineering of QFTs from String Theory and M-theory, IR duality are fundamental and in my contribution “Algebro geometrical orientifolds and IR dualities” (published on CTP), I propose a novel way to see them and interpreting them as fluctuations of the geometry that can be described using algebraic geometry tools and orintifold projections.
Gravitational solitons are exact solutions of Einstein field equation but their full interpretation in classical and quantum gravity is still lacking even if most of the physical useful metric (such as black holes and some cosmological solutions) are given by gravisolitons. In my contribution “Axialgravisolitons at infinite corner” (published on CQG), I study some formal and mathematical properties of gravisolitons with axial symmetry such as their asymptotic expansions and asymptotic symmetry algebra making the first explicit test of the corner proposal. This opens the way to many applications such as a new holographic correspondence, a new IR triangle and the possibility of quantizing the non-perturbative and non-asymptotically flat sector of pure gravity.