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More on time-reversal anomaly of 2+1d topological phases
Yuji Tachikawa, Kazuya Yonekura
We prove an explicit formula conjectured recently by Wang and Levin for the anomaly of time-reversal symmetry in 2+1 dimensional fermionic topological quantum field theories. The c…
On time-reversal anomaly of 2+1d topological phases
Yuji Tachikawa, Kazuya Yonekura
We describe a method to find the anomaly of the time-reversal symmetry of 2+1d topological quantum field theories, by computing the fractional anomalous momentum on the cross-cap b…
Anomaly of strings of 6d theories
Hiroyuki Shimizu, Yuji Tachikawa
We obtain the anomaly polynomial of strings of general 6d theories in terms of anomaly inflow. Our computation sheds some light on the reason why the simplest…
A brief review of the 2d/4d correspondences
Yuji Tachikawa
An elementary introduction to the 2d/4d correspondences is given. After quickly reviewing the 2d q-deformed Yang-Mills theory and the Liouville theory, we will introduce 4d theorie…
Hofstadter's Butterfly in Quantum Geometry
Yasuyuki Hatsuda, Hosho Katsura, Yuji Tachikawa
We point out that the recent conjectural solution to the spectral problem for the Hamiltonian in terms of the refined topological invariants of a loca…
Gauge interactions and topological phases of matter
Yuji Tachikawa, Kazuya Yonekura
We initiate the study of the effects of strongly-coupled gauge interactions on the properties of the topological phases of matter. In particular, we discuss fermionic systems with…