MathDB5 problems
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Sufficiency of irreducible string operators for quasiparticle excitations
String-operator sufficiency conjecture. The irreducible solutions to $$, together with their associated string operators , are sufficient to construct every quasiparticl…
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The gauged-SPT string-net duality conjecture for discrete groups
A symmetry-protected topological (SPT) phase with discrete symmetry group is a gapped phase whose defining structure is protected by the symmetry, and a string-net model is a t…
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Extended versions and electric-magnetic duality for all string-net models
A string-net (SN) model is a lattice model describing topological order using data from a unitary tensor category. An extended version of an SN model is an extended string-net mode…
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Parent extended string-net conjecture for all string-net models
A string-net (SN) model is a lattice model constructed from data of a unitary tensor category. An extended string-net (ESN) model is a variant with a canonically enlarged Hilbert s…
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Extension of all string-net models with electric-magnetic duality
A string-net (SN) model is a lattice model describing topological order using data from a unitary tensor category; an extended string-net (ESN) model is a string-net model with a c…