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More on S-folds
Simone Giacomelli, Mario Martone, Yuji Tachikawa +1
We carry out a systematic study of 4d preserving S-folds of F-theory 7-branes and the worldvolume theories on D3-branes probing them. They consist of two infinite…
action on QFTs with symmetry and the Brown-Kervaire invariants
Lakshya Bhardwaj, Yasunori Lee, Yuji Tachikawa
We consider an analogue of Witten's action on three-dimensional QFTs with symmetry for -dimensional QFTs with -form symmetry. We…
Revisiting Wess-Zumino-Witten terms
Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa
We revisit various topological issues concerning four-dimensional ungauged and gauged Wess-Zumino-Witten (WZW) terms for and quantum chromodynamics (QCD), from the modern…
Anomalies, Black strings and the charged Cardy formula
Seyed Morteza Hosseini, Kiril Hristov, Yuji Tachikawa +1
We derive the general anomaly polynomial for a class of two-dimensional CFTs arising as twisted compactifications of a higher-dimensional theory on compact manifolds $\mathcal{M}_d…
General Lieb-Schultz-Mattis type theorems for quantum spin chains
Yoshiko Ogata, Yuji Tachikawa, Hal Tasaki
We develop a general operator algebraic method which focuses on projective representations of symmetry group for proving Lieb-Schultz-Mattis type theorems, i.e., no-go theorems tha…
The super Frobenius-Schur indicator and finite group gauge theories on pin surfaces
Takumi Ichikawa, Yuji Tachikawa
It is well-known that the value of the Frobenius-Schur indicator of a real irreducible representation of a finite group determines which of…
Anomaly inflow and -form gauge theories
Chang-Tse Hsieh, Yuji Tachikawa, Kazuya Yonekura
Chiral and non-chiral -form gauge fields have gravitational anomalies and anomalies of Green-Schwarz type. This means that they are most naturally realized as the boundary modes…