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Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions

- Chang-Tse Hsieh, G. Cho, S. Ryu
- Physics
- 4 March 2015

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… Expand

Anomaly Matching and Symmetry-Protected Critical Phases in SU(N) Spin Systems in 1+1 Dimensions.

- Yuan Yao, Chang-Tse Hsieh, M. Oshikawa
- PhysicsPhysical review letters
- 18 May 2018

TLDR

Discrete gauge anomalies revisited

- Chang-Tse Hsieh
- Mathematics
- 8 August 2018

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… Expand

Fermionic Minimal Models.

- Chang-Tse Hsieh, Y. Nakayama, Y. Tachikawa
- PhysicsPhysical review letters
- 27 February 2020

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… Expand

Anomaly Inflow and p-Form Gauge Theories

- Chang-Tse Hsieh, Yuji Tachikawa, Kazuya Yonekura
- MathematicsCommunications in Mathematical Physics
- 25 March 2020

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… Expand

Anomaly manifestation of Lieb-Schultz-Mattis theorem and topological phases

- G. Cho, Chang-Tse Hsieh, S. Ryu
- Physics
- 10 May 2017

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… Expand

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… Expand

Anomaly of the Electromagnetic Duality of Maxwell Theory.

- Chang-Tse Hsieh, Yuji Tachikawa, Kazuya Yonekura
- PhysicsPhysical review letters
- 22 May 2019

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… Expand

Minimum shear viscosity over entropy density at phase transition?—A counterexample

- Jiunn-Wei Chen, Chang-Tse Hsieh, H. Lin
- Physics
- 15 October 2010

Symmetry-protected Topological Phases, Generalized Laughlin Argument and Orientifolds

- Chang-Tse Hsieh, O. M. Sule, G. Cho, S. Ryu, R. Leigh
- Physics
- 27 March 2014

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… Expand

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