Quantum 4d Yang-Mills theory and time-reversal symmetric 5d higher-gauge topological field theory

@article{Wan2019Quantum4Y,
  title={Quantum 4d Yang-Mills theory and time-reversal symmetric 5d higher-gauge topological field theory},
  author={Zheyan Wan and Juven C. Wang and Yunqin Zheng},
  journal={Physical Review D},
  year={2019}
}
We explore various 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d gapped short-/long-range entangled (SRE/LRE) topological states. Specifically, we explore 4d time-reversal symmetric pure YM of an SU(2) gauge group with a second-Chern-class topological term at θ=π [SU(2)θ=π YM], by turning on the background fields for both the time reversal (i.e., on unorientable manifolds) and the one-form center global symmetry. We find four siblings of SU(2)θ=π YM with distinct… Expand
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