Develops an operator-algebraic framework for fusion category symmetries on (1+1)D lattices, proving realization conditions via integer dimensions and fiber functors plus anomaly-enforced gaplessness theorems.
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Generalizes Verlinde-van der Heijden protocol to type III factors in QFT, yielding thermodynamic interpretation and charge quantization via index-statistics theorem.
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An operator algebraic approach to fusion category symmetry on the lattice
Develops an operator-algebraic framework for fusion category symmetries on (1+1)D lattices, proving realization conditions via integer dimensions and fiber functors plus anomaly-enforced gaplessness theorems.
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A QFT information protocol for charged black holes
Generalizes Verlinde-van der Heijden protocol to type III factors in QFT, yielding thermodynamic interpretation and charge quantization via index-statistics theorem.