The SCFT spectrum conjecture for topological modular forms

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Let \SQFT∙\SQFT^\bullet denote the spectrum whose spaces classify compact unitary N=(0,1)\mathcal N=(0,1) superconformal field theories, graded by anomaly. Let TMF∙\mathrm{TMF}^\bullet denote the universal elliptic cohomology theory of topological modular forms. SCFT spectrum conjecture. The spectrum \SQFT∙\SQFT^\bullet represents TMF∙\mathrm{TMF}^\bullet:

\SQFT∙≃TMF∙.\SQFT^\bullet\simeq\mathrm{TMF}^\bullet.

This conjecture would identify the proposed field-theoretic cohomology theory with topological modular forms. The paper notes substantial physical and mathematical evidence but does not claim a rigorous proof.

References

Primary source

Theo Johnson-Freyd, “Topological Mathieu Moonshine”, arXiv:2006.02922 (2021).

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