4 problems

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Conjecture that the identified states form the full subspace of $\tilde\delta$
Let $\tilde\delta$ denote the object whose subspace is under consideration, and let the preceding construction identify a candidate subspace of $\tilde\delta$ . Full-subspace conjec…
Conjectureopenoperator-algebras quantum-many-body-systems symmetry-defectsarXiv posted 2 days ago
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Nonexistence of $S_3$ -ality defects for $\N=3^r$
Nonexistence conjecture. There is no valid choice of $S_3$ for the $\mathbb{Z}_{3^r}\times\mathbb{Z}_{3^r}$ SymTFT for any $r\geq 1$ .
Conjectureopenquantum-field-theory symmetry-defectsarXiv posted 2 days ago
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Conjecture on the Ising symmetry defect data
Let $\textbf{Ising}$ be the Ising fusion category, and consider its Deligne product $\textbf{Ising}\boxtimes\textbf{Ising}$ together with a $\mathds{Z}_2$ -crossed extension contain…
Conjectureopenfusion-categories symmetry-defects topological-quantum-computingarXiv posted 2 days ago
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The symmetry-defect braid-representation conjecture
Let $G$ act on a braided fusion category, let $X_g$ be a defect fixed by the $G$ -action, and let $\rho_{X_g,n}$ be the associated projective representation of the braid group…
Conjectureopenbraid-groups symmetry-defects topological-quantum-computingarXiv posted 2 days ago

Conjecture that the identified states form the full subspace of δ~\tilde\deltaδ~