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Results tagged with fusion-categories
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user 799
3
votes
1
answer
628
views
Module categories for Fibonacci anyons
What are the module categories over the modular tensor category Fib of Fibonacci anyons?
By Ostrik's work, we know these module categories correspond to separable algebras in Fib. I do not believe su …
- 2,513
0
votes
How weird can Modular Tensor Categories be over non-algebraically closed fields?
Here is an beginning of an existence proof for anything nontrivial whatsoever.
Work over the field $\mathbb{R}$, and consider the algebra $A = \mathbb{R} \oplus \mathbb{H}$. Then $\text{Mod}(A)$ has …
- 2,513
10
votes
1
answer
512
views
Is every separable algebra in a modular tensor category Morita equivalent to a commutative one?
Separable algebras in modular tensor categories are interesting algebraic structures, which have received significant attention because of their connection to conformal field theories. My understandin …
- 2,513