  We construct an exactly solvable lattice model of a fractional Weyl semimetal
(FWS). The low energy theory of this strongly interacting state is that of a
Weyl semimetal built out of fractionally charged fermions. We show the
existence of a universally quantized and fractional circular photogalvanic
effect (CPGE) and a violation of the Wiedemann-Franz law in the system.
Together with a spectral gap in the single-particle electronic Green's function
they provide strong experimental signatures for this exotic gapless state of
matter.
