60 citations · 401 across the 19 of their papers we have counts for
5 papers · 1 filter
(3+1)D path integral state sums on curved U(1) bundles and U(1) anomalies of (2+1)D topological phases
Ryohei Kobayashi, Maissam Barkeshli
Given the algebraic data characterizing any (2+1)D bosonic or fermionic topological order with a global symmetry group , we construct a (3+1)D topologi…
Lattice construction of exotic invertible topological phases
Ryohei Kobayashi
In this paper, we provide state sum path integral definitions of exotic invertible topological phases proposed in the recent paper by Hsin, Ji, and Jian. The exotic phase has time…
Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs
Sri Tata, Ryohei Kobayashi, Daniel Bulmash +1
Given a (2+1)D fermionic topological order and a symmetry fractionalization class for a global symmetry group , we show how to construct a (3+1)D topologically invariant path in…
Topological terms of (2+1)d flag-manifold sigma models
Ryohei Kobayashi, Yasunori Lee, Ken Shiozaki +1
We examine topological terms of d sigma models and their consequences in the light of classifications of invertible quantum field theories utilizing bordism groups. In parti…
Anomaly constraint on chiral central charge of (2+1)d topological order
Ryohei Kobayashi
In this short paper, we argue that the chiral central charge of a (2+1)d topological ordered state is sometimes strongly constrained by 't Hooft anomaly of anti-unitary globa…