Mapping Kitaev's quantum double lattice models to Levin and Wen's string-net models

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 15, 2009, Pages

  Buerschaper, Oliver ^a   Aguado, Miguel ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 71449086122     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.155136     Document Type: Article

References (27)

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19. Where more than one annihilation channel is available at a vertex, another index A as defined in Eq. must also be specified. However, for simplicity we will only consider cases where all vertex W are at most rank one, Δ { μi } { 0,1 }. These coincide with the "fusion rule deltas" in Ref..
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27. It can be seen easily that tr Πσ μν,λρ = Δμνσ Δλρ σ so these are rank-one projectors as long as the three-irrep W 's are.