A layered gauging method constructs (k+1)-dimensional topological orders, including fracton models like the X-cube, from k-dimensional symmetries such as subsystem, anomalous, or noninvertible ones.
Witten, Quantum field theory and the jones polyno- mial, Communications in Mathematical Physics121, 351 (1989)
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The deferred cyclotomic representation (DCR) is a parameter-independent combinatorial object for q-hypergeometric series that resolves numerator-denominator cancellations exactly as integer arithmetic prior to evaluation in any target field.
Permutation defects between wavefunction replicas yield multipartite entanglement measures that capture the chiral central charge from bulk states in chiral topological phases.
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Constructing Bulk Topological Orders via Layered Gauging
A layered gauging method constructs (k+1)-dimensional topological orders, including fracton models like the X-cube, from k-dimensional symmetries such as subsystem, anomalous, or noninvertible ones.
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Deferred Cyclotomic Representation for Stable and Exact Evaluation of q-Hypergeometric Series
The deferred cyclotomic representation (DCR) is a parameter-independent combinatorial object for q-hypergeometric series that resolves numerator-denominator cancellations exactly as integer arithmetic prior to evaluation in any target field.
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Probing chiral topological states with permutation defects
Permutation defects between wavefunction replicas yield multipartite entanglement measures that capture the chiral central charge from bulk states in chiral topological phases.