Lattice chiral symmetry from bosons in 3+1d

Zhiyao Lu, Sahand Seifnashri, Shu-Heng Shao

We present a solvable Hamiltonian that realizes an exact lattice chiral $U(1{)}_V\times U(1{)}_A$ symmetry. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rat…