Seminar at CPHT

Time:14 pm, Dec 3th Wednesday

Location: Salle de Conférence Louis Michel

Speaker: Francesco Bertucci (University of Mississippi) 

Title: Bootstrapping Euclidean latticese

Abstract: Using numerical bootstrap methods, we constrain the spectrum of the Laplacian operator in $d$-dimensional flat manifolds, as well as the triple integrals of its eigenmodes. We provide many examples of $d$-dimensional flat tori that populate these bounds. In certain dimensions, our bounds are saturated by some special lattices, including the $E_8$ lattice in 8d and the Leech lattice in 24d. These bounds admit an interpretation in the context of Kaluza-Klein theories and have connections with the sphere packing and kissing number problems.