Provides characterization of near-extremizers for the fourth noncommutative Gowers uniformity norm, enabling an efficient tester for the third Clifford hierarchy level.
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Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
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On Clifford hierarchy testing and near-extremizers of noncommutative uniformity norms
Provides characterization of near-extremizers for the fourth noncommutative Gowers uniformity norm, enabling an efficient tester for the third Clifford hierarchy level.
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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions
Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.