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Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
Quantum anomalies, breakdown of classical symmetries by quantum effects, provide a sharp definition of symmetry protected topological phases. In particular, they can diagnose interaction effects on
Anomaly Matching and Symmetry-Protected Critical Phases in SU(N) Spin Systems in 1+1 Dimensions.
It is shown that only a class of SU(N) Wess-Zumino-Witten theories can be realized in the low-energy limit of the given lattice model in the presence of the symmetries, and a general constraint on the structure factor is predicted which is measurable in experiments.
Discrete gauge anomalies revisited
We revisit discrete gauge anomalies in chiral fermion theories in $3+1$ dimensions. We focus on the case that the full symmetry group of fermions is $\mathrm{Spin}(4)\times\mathbb{Z}_n$ or
Fermionic Minimal Models.
We show that there is a fermionic minimal model, i.e., a 1+1D conformal field theory which contains operators of half-integral spins in its spectrum, for each c=1-6/m(m+1), m≥3. This generalizes the
Anomaly Inflow and p-Form Gauge Theories
Chiral and non-chiral $p$-form gauge fields have gravitational anomalies and anomalies of Green-Schwarz type. This means that they are most naturally realized as the boundary modes of bulk
Anomaly manifestation of Lieb-Schultz-Mattis theorem and topological phases
The Lieb-Schultz-Mattis (LSM) theorem dictates that emergent low-energy states from a lattice model cannot be a trivial symmetric insulator if the filling per unit cell is not integral and if the
Interface contributions to topological entanglement in abelian Chern-Simons theory
A bstractWe study the entanglement entropy between (possibly distinct) topological phases across an interface using an Abelian Chern-Simons description with topological boundary conditions (TBCs) at
Anomaly of the Electromagnetic Duality of Maxwell Theory.
We consider the (3+1)-dimensional Maxwell theory in the situation where going around nontrivial paths in the spacetime involves the action of the duality transformation exchanging the electric field
Symmetry-protected Topological Phases, Generalized Laughlin Argument and Orientifolds
We generalize Laughlin's flux insertion argument, originally discussed in the context of the quantum Hall effect, to topological phases protected by non-on-site unitary symmetries, in particular by