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On supersymmetry enhancements in three dimensions
Benjamin Assel, Yuji Tachikawa, Alessandro Tomasiello
We introduce a class of 3d theories consisting of strongly-coupled systems coupled to Chern-Simons gauge multiplets, which exhibit ${\mathcal N}=4…
Asymptotic density of states in 2d CFTs with non-invertible symmetries
Ying-Hsuan Lin, Masaki Okada, Sahand Seifnashri +1
It is known that the asymptotic density of states of a 2d CFT in an irreducible representation of a finite symmetry group is proportional to . We show how this s…
On odd number of fermion zero modes on solitons in quantum field theory and string/M theory
Yotaro Sato, Yuji Tachikawa, Taizan Watari
We argue that having an odd number of Majorana fermion zero modes on a dynamical point-like soliton signifies an inconsistency in a theory with 3+1 and higher dimensions. We check…
Undecidable problems in quantum field theory
Yuji Tachikawa
We point out that some questions in quantum field theory are undecidable in a precise mathematical sense. More concretely, it will be demonstrated that there is no algorithm answer…