7 problems

Let $G$ be a symmetry group and let $\mathcal{S}_G$ be a $G$-graded super fusion category. Write $\mathcal{S}_1$ for its trivial grading sector, where $1\in G$ is the trivial eleme…

Patch-operator anyon-data conjecture. The anyon data of a $2+1$-dimensional non-chiral topological order is encoded in the set of symmetric transparent connectable patch operators…

Let ${\mathcal L}$ be an immersed annulus, let ${\mathcal C}_{\mathcal L}$ be the superselection sectors detected by it, and let $d_\mu$ be the quantum dimension of $\mu$. Transpor…

Let $X_8$ be the immersed figure-8 annulus in the sphere, let ${\mathcal C}_8$ be the set of superselection sectors detected by $X_8$, and let $d_\mu$ denote the quantum dimension…

A quantum cellular automaton (QCA) is used to disentangle certain chiral models associated with abelian unitary modular tensor categories (UMTCs). The resulting disentangled models…

An intrinsic topological phase in $2+1$ dimensions is described by a unitary modular tensor category (UMTC) $\mathcal{M}$, which specifies its anyon content, together with a number…

Let ${\cal C}$ be a topological order, and let ${\cal C}_{\boldsymbol a,K}$ and ${\cal C}_{\boldsymbol a',K'}$ be topological orders constructed from ${\cal C}$ using anyon data…