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Numerical evidence for a Haagerup conformal field theory
Tzu-Chen Huang, Ying-Hsuan Lin, Kantaro Ohmori +2
We numerically study an anyon chain based on the Haagerup fusion category, and find evidence that it leads in the long-distance limit to a conformal field theory whose central char…
Matching higher symmetries across Intriligator-Seiberg duality
Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa
We study higher symmetries and anomalies of 4d gauge theory with flavors. We find that they depend on the parity of and , the global form of…
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_{\…
Topological modular forms and the absence of a heterotic global anomaly
Yuji Tachikawa
Spacetime theories obtained from perturbative string theory constructions are automatically free of perturbative anomalies, but it is not settled whether they are always free of gl…
Fermionization and boundary states in 1+1 dimensions
Yoshiki Fukusumi, Yuji Tachikawa, Yunqin Zheng
In the last few years it was realized that every fermionic theory in 1+1 dimensions is a generalized Jordan-Wigner transform of a bosonic theory with a non-anomalous …
Some comments on 6d global gauge anomalies
Yasunori Lee, Yuji Tachikawa
Global gauge anomalies in associated with non-trivial homotopy groups for , , and were computed and utilized in the past. In the modern bordism…