For stable sequences D(λ,τ) of SU(N) representations, dimensions satisfy dim(D(λ,τ),N) = (-1)^{Area(λ)+Area(τ)} dim(D(τ,λ),-N) and second-order Casimir eigenvalues satisfy C(D(λ,τ),N) = -C(D(λ^T,τ^T),-N).
Applications of negative dimensional tensors,
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math-ph 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations
For stable sequences D(λ,τ) of SU(N) representations, dimensions satisfy dim(D(λ,τ),N) = (-1)^{Area(λ)+Area(τ)} dim(D(τ,λ),-N) and second-order Casimir eigenvalues satisfy C(D(λ,τ),N) = -C(D(λ^T,τ^T),-N).