Universal optimality of the hexagonal, E8E_8E8, and Leech lattices for charged periodic configurations
Universal optimality conjecture. For all N∈2NN\in2\mathbb{N}N∈2N, A2\mathsf{A}_2A2, E8\mathsf{E}_8E8, and the Leech lattice are the unique maximizers of Ef±E_f^\pmEf± on AN1\mathcal{A}_N^1AN1 in the…