3 papers
math-ph2025
Geometric Categories for Continuous Gauging
Devon Stockall, Matthew Yu
We develop a unified categorical framework for gauging both continuous and finite symmetries in arbitrary spacetime dimensions. Our construction applies to geometric categories i.e…
math.CT2025
Large condensation in enriched -categories
Devon Stockall
Using the language of enriched -categories, we formalize and generalize the definition of fusion n-category, and an analogue of iterative condensation of -algebras. Th…
math.QA2024
Weak braiding for algebras in braided monoidal categories
Devon Stockall
Under appropriate conditions, if one picks a commutative algebra A with action of group G in braided monoidal category C, the category of A modules in C obtains a natural crossed G…