Anyon Selector
Click grid to place. Click existing anyon to remove. Drag to move.
Place anyons on the lattice...
Fusion Table (D(Z₂))
| × | 1 | e | m | ε |
|---|---|---|---|---|
| 1 | 1 | e | m | ε |
| e | e | 1 | ε | m |
| m | m | ε | 1 | e |
| ε | ε | m | e | 1 |
Topological spins:
h(1)=0 (boson) | h(e)=0 (boson)
h(m)=0 (boson) | h(ε)=½ (fermion)
Braiding phases (e around m):
e↺m → phase π (mutual semion)
ε↺ε → phase -1 (self-statistics)
e↺e = m↺m → phase 1 (trivial)
h(1)=0 (boson) | h(e)=0 (boson)
h(m)=0 (boson) | h(ε)=½ (fermion)
Braiding phases (e around m):
e↺m → phase π (mutual semion)
ε↺ε → phase -1 (self-statistics)
e↺e = m↺m → phase 1 (trivial)
Braiding log will appear here...