The SQFT spectrum conjecture

Let $\SQFT^\bullet$ be the spectrum formed from spaces of compact unitary $\mathcal N=(0,1)$ SQFTs, with grading determined by the corresponding fermionic anomaly. SQFT spectrum conjecture. These spaces assemble into a commutative ring orthogonal $\Omega$-spectrum $\SQFT^\bullet$. The paper calls this a conjecture because the spaces $\SQFT^\bullet$ were not mathematically defined or topologized, and because some details remain unresolved at the stated level of rigor.