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fix: Artin braid check over/underbraiding conventions #92

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Merged
borisdevos merged 2 commits into from
Jun 1, 2026
Merged

fix: Artin braid check over/underbraiding conventions #92

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64c00be
potential artin braid fix
borisdevos May 28, 2026
c580392
make it make sense hopefully
borisdevos May 31, 2026
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14 changes: 7 additions & 7 deletions test/sectors.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -284,11 +284,11 @@ end
Rcde, Rdce = Rsymbol(c, d, e), Rsymbol(d, c, e)
Fdabefc = Fsymbol(d, a, b, e, f, c)
if FusionStyle(I) isa MultiplicityFreeFusion
RFR1 = Rcde * conj(Fdabefc) * conj(Rdaf)
RFR2 = conj(Rdce) * conj(Fdabefc) * Radf
RFR1 = Rcde * conj(Fdabefc) * conj(Radf)
RFR2 = conj(Rdce) * conj(Fdabefc) * Rdaf
else
@tensor RFR1[ν, μ, λ, σ] := Rcde[ν, ρ] * conj(Fdabefc[κ, λ, μ, ρ]) * conj(Rdaf[σ, κ])
@tensor RFR2[ν, μ, λ, σ] := conj(Rdce[ν, ρ]) * conj(Fdabefc[κ, λ, μ, ρ]) * Radf[σ, κ]
@tensor RFR1[μ, ν, λ, σ] := Rcde[ν, ρ] * conj(Fdabefc[κ, λ, μ, ρ]) * conj(Radf[σ, κ])
@tensor RFR2[μ, ν, λ, σ] := conj(Rdce[ρ, ν]) * conj(Fdabefc[κ, λ, μ, ρ]) * Rdaf[κ, σ]
end
FRF1, FRF2 = zero(RFR1), zero(RFR2)
for g in ⊗(d, b)
Expand All @@ -297,10 +297,10 @@ end
Rbdg, Rdbg = Rsymbol(b, d, g), Rsymbol(d, b, g)
if FusionStyle(I) isa MultiplicityFreeFusion
FRF1 += Fabdecg * Rbdg * conj(Fadbefg)
FRF2 += conj(Fabdecg) * conj(Rdbg) * Fadbefg
FRF2 += Fabdecg * conj(Rdbg) * conj(Fadbefg)
else
@tensor FRF1[ν, μ, β, α] += Fabdecg[μ, ν, κ, λ] * Rbdg[κ, θ] * conj(Fadbefg[α, β, θ, λ])
@tensor FRF2[ν, μ, β, α] += conj(Fabdecg[μ, ν, κ, λ]) * conj(Rdbg[κ, θ]) * Fadbefg[α, β, θ, λ]
@tensor FRF1[μ, ν, β, α] += Fabdecg[μ, ν, κ, λ] * Rbdg[κ, θ] * conj(Fadbefg[α, β, θ, λ])
@tensor FRF2[μ, ν, β, α] += Fabdecg[μ, ν, κ, λ] * conj(Rdbg[θ, κ]) * conj(Fadbefg[α, β, θ, λ])
end
end
@test isapprox(RFR1, FRF1; atol = 1.0e-12, rtol = 1.0e-12)
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