We use the theory of topological modular forms to constrain bosonic holomorphic CFTs, which can be viewed as (0, 1) SCFTs with trivial right-moving supersymmetric sector. A conjecture by Segal, Stolz and Teichner requires constant term partition function divisible specific integers determined central charge. verify this constraint in large classes physical examples, rule out existence an infini...

A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous the Igusa Cusp Form. The modularity these do not follow in an obvious manner. For some conjugacy classes, but all, they match known modular forms. In this paper, we express all classes $M_{24}$ terms products standard This provides a new proof the...