Three independent conditions on cusp forms, dual LP obstructions, and extremal CFTs are conjectured to be equivalent for d ≡ 0 mod 8 and together explain LP sharpness exclusively in dimensions 8 and 24.
Bellissard, Gap labelling theorems for Schrödinger operators, in:From Number Theory to Physics, Springer, 1992, pp
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Cusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24
Three independent conditions on cusp forms, dual LP obstructions, and extremal CFTs are conjectured to be equivalent for d ≡ 0 mod 8 and together explain LP sharpness exclusively in dimensions 8 and 24.