Abstract
In this paper, we introduce a new set of modular-invariant phase factors for orbifolds with trivially-acting subgroups, analogous to discrete torsion and generalizing quantum symmetries. After describing their basic properties, we generalize decomposition to include orbifolds with these new phase factors, making a precise proposal for how such orbifolds are equivalent to disjoint unions of other orbifolds without trivially-acting subgroups or one-form symmetries, which we check in numerous examples.
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Robbins, D.G., Sharpe, E. & Vandermeulen, T. Quantum symmetries in orbifolds and decomposition. J. High Energ. Phys. 2022, 108 (2022). https://doi.org/10.1007/JHEP02(2022)108
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DOI: https://doi.org/10.1007/JHEP02(2022)108