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Merged
merged 6 commits into from
Mar 28, 2025
Merged

define nsymbol #4

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dd699cb
define nsymbol
ogauthe Dec 11, 2024
93e61b6
Merge branch 'main' into nsymbol
ogauthe Feb 27, 2025
54f95cc
remove label in nsymbol
ogauthe Feb 27, 2025
c8a1083
bump version
ogauthe Feb 27, 2025
1474646
Merge branch 'main' into nsymbol
ogauthe Mar 28, 2025
033baba
fix to_gradedrange
ogauthe Mar 28, 2025
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14 changes: 13 additions & 1 deletion src/abstractsector.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -4,7 +4,12 @@
using BlockArrays: blocklengths
using LabelledNumbers: LabelledInteger, label, label_type, labelled, unlabel, unlabel_type
using GradedUnitRanges:
GradedUnitRanges, blocklabels, fuse_blocklengths, gradedrange, tensor_product
GradedUnitRanges,
blocklabels,
fuse_blocklengths,
fusion_product,
gradedrange,
tensor_product

abstract type AbstractSector end

Expand Down Expand Up @@ -47,6 +52,13 @@ quantum_dimension(::AbelianStyle, ::AbstractSector) = 1
quantum_dimension(::AbelianStyle, g::AbstractUnitRange) = length(g)
quantum_dimension(::NotAbelianStyle, g::AbstractUnitRange) = sum(block_dimensions(g))

function nsymbol(s1::AbstractSector, s2::AbstractSector, s3::AbstractSector)
full_space = fusion_product(s1, s2)
i = findfirst(==(s3), blocklabels(full_space))
isnothing(i) && return 0
return unlabel(blocklengths(full_space)[i])
end

# =============================== Fusion rule interface ==================================
⊗(c1::AbstractSector, c2::AbstractSector) = fusion_rule(c1, c2)

Expand Down
6 changes: 6 additions & 0 deletions test/test_fusion_rules.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -11,6 +11,7 @@ using SymmetrySectors:
U1,
Z,
block_dimensions,
nsymbol,
quantum_dimension,
trivial
using Test: @test, @testset, @test_throws
Expand All @@ -30,6 +31,7 @@ using TestExtras: @constinferred
@test (@constinferred q ⊗ q) == q
@test (@constinferred q ⊗ z0) == z0
@test (@constinferred z1 ⊗ q) == z1
@test nsymbol(q, q, q) == 1

# using GradedUnitRanges interface
@test space_isequal(fusion_product(z0, z0), gradedrange([z0 => 1]))
Expand All @@ -50,6 +52,8 @@ using TestExtras: @constinferred
@test q1 ⊗ q2 == U1(3)
@test q2 ⊗ q1 == U1(3)
@test (@constinferred q1 ⊗ q2) == q3
@test nsymbol(q1, q2, q3) == 1
@test nsymbol(q1, q1, q3) == 0
end

@testset "O2 fusion rules" begin
Expand Down Expand Up @@ -266,6 +270,8 @@ end
@test space_isequal(
fusion_product(dual(g5), dual(g6)), gradedrange([s1 => 2, f3 => 1, c3 => 1, ad8 => 1])
)

@test nsymbol(ad8, ad8, ad8) == 2
end

@testset "Mixed GradedUnitRange - Sector fusion rules" begin
Expand Down
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