Non-Invertible Bosonic Chiral Symmetry on the Lattice

Explore a 51-minute conference talk examining the Hamiltonian lattice realization of non-invertible chiral symmetry that mimics axial rotation at rational angles in U(1) gauge theory with bosonic charged matter. Learn how this theoretical framework enables the construction of symmetric Hamiltonians that flow to known field theories possessing this symmetry at low energies. Discover the mathematical foundations and physical implications of non-invertible symmetries in lattice systems, with particular focus on bosonic matter coupled to gauge fields. Gain insights into the connection between lattice constructions and continuum field theory through the lens of chiral symmetry breaking and restoration. Understand the role of rational angle rotations in maintaining symmetry properties while transitioning between different energy scales in quantum field theoretical systems.