# Higher Anomalies, Higher Symmetries, and Cobordisms II: Applications to Quantum Gauge Theories

@article{Wan2019HigherAH, title={Higher Anomalies, Higher Symmetries, and Cobordisms II: Applications to Quantum Gauge Theories}, author={Zheyan Wan and Juven C. Wang and Yunqin Zheng}, journal={arXiv: High Energy Physics - Theory}, year={2019} }

We discuss the topological terms, the global symmetries and their 't Hooft anomalies of pure gauge theories in various dimensions, with dynamical gauge group $G$, the Lorentz symmetry group $G_{\text{Lorentz}}$, and the internal global symmetry $G_{e,[1]}\times G_{m, [d-3]}$ which consists of 1-form electric center symmetry $G_{e,[1]}$ and $(d-3)$ form magnetic symmetry $G_{m, [d-3]}$. The topological terms are determined by the cobordism invariants $(\Omega^d)^{G'}$ where $G'$ is the group…

## 5 Citations

### Higher anomalies, higher symmetries, and cobordisms II: Lorentz symmetry extension and enriched bosonic / fermionic quantum gauge theory

- Physics
- 2019

We systematically study Lorentz symmetry extensions in quantum field theories (QFTs) and their 't Hooft anomalies via cobordism. The total symmetry $G'$ can be expressed in terms of the extension of…

### Anomaly and Cobordism Constraints Beyond Standard Model: Topological Force

- Physics
- 2020

Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on a systematic cobordism classification…

### Deconfinement on axion domain walls

- PhysicsJournal of High Energy Physics
- 2020

We study SU( N c ) gauge theories with Dirac fermions in representations ℛ of nonzero N -ality, coupled to axions. These theories have an exact discrete chiral symmetry, which has a mixed ’t Hooft…

### Generalized ’t Hooft anomalies on non-spin manifolds

- Physics
- 2020

We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in SU( N c ) gauge theories with N f flavors of Dirac fermions in representations ℛ c…

### Universal features of higher-form symmetries at phase transitions

- ArtSciPost Physics
- 2021

<jats:p>We investigate the behavior of higher-form symmetries at various
quantum phase transitions. We consider discrete 1-form symmetries, which
can be either part of the generalized concept…

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