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On 'categories' of quantum field theories
Yuji Tachikawa
We give a rough description of the 'categories' formed by quantum field theories. A few recent mathematical conjectures derived from quantum field theories, some of which are now p…
On gauging finite subgroups
Yuji Tachikawa
We study in general spacetime dimension the symmetry of the theory obtained by gauging a non-anomalous finite normal Abelian subgroup of a -symmetric theory. Depending on ho…
First-order conformal perturbation theory by marginal operators
Kallol Sen, Yuji Tachikawa
We perform conformal perturbation theory by marginal operators to first order. A suitable renormalization method is needed that makes the conformal invariance of the deformed corre…
8d gauge anomalies and the topological Green-Schwarz mechanism
Iñaki García-Etxebarria, Hirotaka Hayashi, Kantaro Ohmori +2
String theory provides us with 8d supersymmetric gauge theory with gauge algebras , , , , $\mathfrak{e}_{7}…
Anomalies involving the space of couplings and the Zamolodchikov metric
Yuji Tachikawa, Kazuya Yonekura
The anomaly polynomial of a theory can involve not only curvature two-forms of the flavor symmetry background but also two-forms on the space of coupling constants. As an example,…
instantons on type-A ALE spaces and supersymmetric field theories
Noppadol Mekareeya, Kantaro Ohmori, Yuji Tachikawa +1
We consider the 6d superconformal field theory realized on M5-branes probing the end-of-the-world brane on the deformed and resolved singularity.…