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Quantum symmetries of quantum spin systems — NSF Award to OHIO STATE UNIVERSITY, THE (OH, $300,000)

Symmetry is a fundamental tool to understand physical and mathematical systems. Classically, symmetries of a system are captured by a collection of invertible self-maps called a group. Collections of certain quantum mathematical objects naturally form higher categories, and thus they admit richer collections of non-inv

Award titleQuantum symmetries of quantum spin systems
Award ID2554723
AwardeeOHIO STATE UNIVERSITY, THE
CityCOLUMBUS
StateOH
Amount obligated$300,000
Principal investigatorDavid Penneys
ProgramANALYSIS PROGRAM
Start date06/15/2026
AbstractSymmetry is a fundamental tool to understand physical and mathematical systems. Classically, symmetries of a system are captured by a collection of invertible self-maps called a group. Collections of certain quantum mathematical objects naturally form higher categories, and thus they admit richer collections of non-invertible or quantum symmetries. Examples of such quantum mathematical objects include algebras of quantum observables and quantum spin systems, which are mathematical models of piec
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