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Anderson duality of topological modular forms and its differential-geometric manifestations
Yuji Tachikawa, Mayuko Yamashita
We construct and study a morphism of spectra implementing the Anderson duality of topological modular forms (). Its differential version will then be introduced, allo…
Non-supersymmetric heterotic branes
Justin Kaidi, Kantaro Ohmori, Yuji Tachikawa +1
The common statement that any consistent quantum gravity theory contains dynamical objects with all possible charges suggests that there are still a number of hitherto-unidentified…
Classification of chiral fermionic CFTs of central charge
Philip Boyle Smith, Ying-Hsuan Lin, Yuji Tachikawa +1
We classify two-dimensional purely chiral conformal field theories which are defined on two-dimensional surfaces equipped with spin structure and have central charge less than or e…
Remarks on mod-2 elliptic genus
Yuji Tachikawa, Mayuko Yamashita, Kazuya Yonekura
For physicists: For supersymmetric quantum mechanics, there are cases when a mod-2 Witten index can be defined, even when a more ordinary -valued Witten index vanishes.…