25 citations · 79 across the 20 of their papers we have counts for
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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.…
A physicist-friendly reformulation of the mod-two Atiyah-Patodi-Singer index
Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4
Gauge anomaly in 4-dimensions can be viewed as a current inflow into an extra-dimension, where the total phase of the fermion partition function is given in a gauge invariant way b…
Topological modular forms and the absence of all heterotic global anomalies
Yuji Tachikawa, Mayuko Yamashita
We reformulate the question of the absence of global anomalies of heterotic string theory mathematically in terms of a certain natural transformation $\mathrm{TMF}^\bullet\to (I_{\…
Mod-two APS index and domain-wall fermion
Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4
We reformulate the mod-two Atiyah-Patodi-Singer (APS) index in a physicist-friendly way using the domain-wall fermion. Our new formulation is given on a closed manifold, which is e…