## Many Body Scars as a Group Invariant Sector of Hilbert Space

Kiryl Pakrouski

Princeton University

July 24, 2020

We present a class of Hamiltonians H for which a sector of the Hilbert space invariant under a Lie group G, which is not a symmetry of H, possesses the essential properties of many-body scar states. These include the absence of thermalization and the non-decaying “revivals” of special initial states in time evolution. Some of the scar states found in earlier work may be viewed as special cases of our construction.