Derive the rational-invariant formula for the q-to-zero elliptic-genus limit

Derive the conjectured expression of the q→0 limit of the elliptic genus of two-dimensional N=(8,8) supersymmetric Yang–Mills theory in terms of the rational invariants Omega_{N=16} of Yi–Lee.

Background

The elliptic genus of the two-dimensional N=(8,8) theory contains both bound-state and continuum contributions. The bound-state contribution can be isolated by taking q→0 together with a suitable limit of the so(8) flavor fugacities.

The paper relates the expected q→0 expression to the rational invariants Omega_{N=16} introduced by Yi and Lee. Those invariants admit descriptions using Binegar’s combinatorial Bala–Carter diagrams or refinements of Kac–Smilga’s analysis, but the asserted relation is stated only conjecturally.