16 problems

Non-Abelian p-loop condensation conjecture. Non-Abelian p-loop condensation serves as a general mechanism for transitions between fracton phases.

General boundary-term conjecture. More general solutions to the boundary consistency constraints should have the form

Etingof–Cui classification conjecture. Locally-correlated mixed-state topological orders in three-dimensional space(time) should be classified by pre-modular fusion categories.

Orbifold-branch conjecture. After some condensation of non-abelian bosons, the first infinite family of Maverick cosets leads to the orbifold branch of $c=1$ rational conformal fie…

Orbifold realization conjecture. These cosets correspond to the orbifold points $U(1)^{\mathrm{Orb}}_{2N}$.

Consider generalized Pauli stabilizer models on nonprime-dimensional ${\mathbb Z}_d$ qudits. A condensation descendant of the ${\mathbb Z}_d$ toric code is a stabilizer model obtai…

Consider the fully extended $(4$-$3$-$2$-$1$-$0)$-dimensional non-chiral Crane–Yetter theory, and perform diagonal anyon condensation. The resulting theory is compared with the Bar…

A rational conformal field theory (RCFT) is a rational conformal field theory arising as the full theory on a surface between two opposite-chirality boundary theories of a bulk Che…

Let a topological boundary have anyon condensation channel multiplicities satisfying $W_{c0}\leq 1$. For the defect fusion coefficients, let $\gamma_{xc}$ denote the half-linking m…

Consider a transformation between PEPS describing topological quantum systems in which anyon condensation makes selected anyonic excitations part of the vacuum and confines excitat…

Consider anyon condensation phase transitions between nonchiral topological orders in two spatial dimensions, and the construction using algebra-graded MPO algebras whose symmetry…

Let ${\mathcal{C}}$ be an MPO algebra whose Drinfeld center ${\mathcal{Z}({\mathcal{C}})}$ is a nonchiral topological phase. An algebra-graded MPO symmetry algebra has a distinguis…

Let a nonchiral topological phase be described by a topological order, and consider the tensor-network approach based on MPO symmetries and their algebraic gradings. MPO-condensati…

Let a two-dimensional topological order have anyon excitations with mirror permutation and mirror symmetry-fractionalization data. Let $\{w_a\}$ denote the data introduced through…

Let a topological phase be described by a unitary modular tensor category, and let $\mathcal{U}$ denote the phase containing only the unconfined anyons after condensation. Unconfin…

Let a parent topological phase undergo anyon condensation according to the Bais–Slingerland rules. Bais–Slingerland uniqueness conjecture. An anyon condensation in a parent topolog…