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- W4310731243 abstract "An orbifold datum is a collection $mathbb{A}$ of algebraic data in a modular fusion category $mathcal{C}$. It allows one to define a new modular fusion category $mathcal{C}_{mathbb{A}}$ in a construction that is a generalisation of taking the Drinfeld centre of a fusion category. Under certain simplifying assumptions we characterise orbifold data $mathbb{A}$ in terms of scalars satisfying polynomial equations and give an explicit expression which computes the number of isomorphism classes of simple objects in $mathcal{C}_{mathbb{A}}$. In Ising-type modular categories we find new examples of orbifold data which - in an appropriate sense - exhibit Fibonacci fusion rules. The corresponding orbifold modular categories have 11 simple objects, and for a certain choice of parameters one obtains the modular category for $sl(2)$ at level 10. This construction inverts the extension of the latter category by the $E_6$ commutative algebra." @default.
- W4310731243 created "2022-12-16" @default.
- W4310731243 creator A5043217861 @default.
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- W4310731243 date "2020-10-02" @default.
- W4310731243 modified "2023-10-05" @default.
- W4310731243 title "Fibonacci-type orbifold data in Ising modular categories" @default.
- W4310731243 doi "https://doi.org/10.48550/arxiv.2010.00932" @default.
- W4310731243 hasPublicationYear "2020" @default.
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