Stolz–Teichner simplified conjecture for holomorphic supersymmetric VOAs

Let $V$ be a holomorphic vertex operator algebra of central charge $c$ equipped with $=1$ supersymmetry. Let $Z_{RR}(V)\in\mathbb Z$ denote its supersymmetric index, and let $\eta$ be the Dedekind eta function. Stolz–Teichner simplified conjecture. The theory $V$ determines a class in

$$\pi_{2c}\mathrm{TMF},$$

whose image in the ring $\mathrm{MF}$ of integral modular forms is

$$Z_{RR}(V)\eta^{2c}.$$

The claim is presented as a special case of the Stolz–Teichner description of TMF. The source then derives a divisibility consequence for holomorphic $\mathcal N=1$ SCFTs, but does not establish this conjectural class construction.