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The existence of Quantum Many-Body Scars, high-energy eigenstates that evade the Eigenstate Thermalization Hypothesis, has been established across different quantum many-body systems, including gauge theories corresponding to spin-1/2 Quantum Link Models. We systematically identify scars for pure gauge theories with arbitrarily large integer spin S in 2+1D, concretely for Truncated Link Models, where the electric field is restricted to 2S+1 states per link. Through an explicit analytic construction, we show that the presence of scars is widespread in 2+1D gauge theories for arbitrary integer spin. We confirm these findings numerically for small truncated spin and S=1 Quantum Link Models. The proposed analytic construction establishes the presence of scars far beyond volumes and spins that can be probed with existing numerical methods.
Budde et al. (Wed,) studied this question.