5 papers
Parafermionizing the Monster
Yamato Honda, Justin Kaidi, Ippo Orii
We study the parafermionization of the Monster CFT with respect to its subgroups, with an odd prime. Under certain assumptions, we show that the parafermioniz…
Vanishing of the obstruction for time-reversal symmetry in (2+1)D abelian bosonic TQFTs
Ippo Orii
In -dimensional topological quantum field theories (TQFTs), the action of a global symmetry group on the anyon system is one of the central topics of research. Owing to the…
Generalization of anomaly formula for time reversal symmetry in (2+1)D abelian bosonic TQFTs
Ippo Orii
We study time-reversal symmetry in D abelian bosonic topological phases. Time-reversal anomalies in such systems are classified by symmetr…
On dimensions of (2+1)D abelian bosonic topological systems on non-orientable manifolds
Ippo Orii
We give a framework to describe abelian bosonic topological systems with parity symmetry on a torus in terms of the projective representation of . However, this i…
Web of dualities on non-orientable surfaces
Ippo Orii, Keita Tsuji
It is known that a two-dimensional bosonic theory with a non-anomalous symmetry can be fermionized. Recent work shows that if the bosonic theory also has non-anomalo…