Rep(Z7 ⋊ Z3) and Rep(Z5 ⋊ Z4) are the lowest-rank braided fusion categories known whose F-symbols are inherently complex, as proven by explicit non-real gauge-invariant quantities.
Large quantum Fourier transforms are never ex- actly realized by braiding conformal blocks
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cond-mat.str-el 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Anyons and Inherently Complex F-symbols
Rep(Z7 ⋊ Z3) and Rep(Z5 ⋊ Z4) are the lowest-rank braided fusion categories known whose F-symbols are inherently complex, as proven by explicit non-real gauge-invariant quantities.