• Corpus ID: 209515696

# 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}
}
• Published 31 December 2019
• Mathematics
• arXiv: High Energy Physics - Theory
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…
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## References

SHOWING 1-10 OF 36 REFERENCES

### Higher anomalies, higher symmetries, and cobordisms I: classification of higher-symmetry-protected topological states and their boundary fermionic/bosonic anomalies via a generalized cobordism theory

• Physics
Annals of Mathematical Sciences and Applications
• 2019
By developing a generalized cobordism theory, we explore the higher global symmetries and higher anomalies of quantum field theories and interacting fermionic/bosonic systems in condensed matter. Our

### Beyond Standard Models and Grand Unifications: anomalies, topological terms, and dynamical constraints via cobordisms

• Mathematics
• 2019
We classify and characterize fully all invertible anomalies and all allowed topo- logical terms related to various Standard Models (SM), Grand Unified Theories (GUT), and Beyond Standard Model (BSM)

### Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups

• Mathematics
• 2017
We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum

### Reading between the lines of four-dimensional gauge theories

• Physics
• 2013
A bstractStarting with a choice of a gauge group in four dimensions, there is often freedom in the choice of magnetic and dyonic line operators. Different consistent choices of these operators

### Fermionic symmetry protected topological phases and cobordisms

• Physics
• 2014
A bstractIt has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with

### Symmetry protected topological orders and the group cohomology of their symmetry group

• Physics
• 2013
Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the

### On finite symmetries and their gauging in two dimensions

• Mathematics
• 2017
A bstractIt is well-known that if we gauge a ℤn symmetry in two dimensions, a dual ℤn symmetry appears, such that re-gauging this dual ℤn symmetry leads back to the original theory. We describe how

### Dai-Freed anomalies in particle physics

• Physics
Journal of High Energy Physics
• 2019
Abstract Anomalies can be elegantly analyzed by means of the Dai-Freed theorem. In this framework it is natural to consider a refinement of traditional anomaly cancellation conditions, which