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Physical Review Research, 2020 We explore the low-energy dynamics of the four siblings of Lorentz symmetry enriched SU(2) Yang-Mills theories with a theta term at θ=π in (3+1)d. Due to a mixed anomaly between time reversal symmetry and the one-form center symmetry, the low-energy ...
Juven Wang, Yi-Zhuang You, Yunqin Zheng
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Gauge-Higgs Unification Models in Six Dimensions with S2/Z2 Extra Space and GUT Gauge Symmetry
Advances in High Energy Physics, 2012 We review gauge-Higgs unification models based on gauge theories defined on six-dimensional spacetime with S2/Z2 topology in the extra spatial dimensions. Nontrivial boundary conditions are imposed on the extra S2/Z2 space.
Cheng-Wei Chiang +2 more
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(Non-)Aligned gauges and global gauge symmetry breaking [PDF]
Mod. Phys. Lett. A, Vol. 27, No. 38 (2012) 1250222, 2012 The concept of (global) gauge symmetry breaking plays an important role in many areas of physics. Since the corresponding symmetry is a gauge symmetry, its breaking is actually gauge-dependent. Thus, it is possible to design gauges which restore the symmetry as good as possible.
arxiv +1 more source
Disconnected 0-Form and 2-Group Symmetries [PDF]
, 2022 Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by a connected Lie group, which captures the possible backgrounds of the continuous 0-form symmetries ...
arxiv +1 more source
Higher-form symmetries of 6d and 5d theories
Journal of High Energy Physics, 2021 We describe general methods for determining higher-form symmetry groups of known 5d and 6d superconformal field theories (SCFTs), and 6d little string theories (LSTs).
Lakshya Bhardwaj, Sakura Schäfer-Nameki
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From physical symmetries to emergent gauge symmetries [PDF]
Journal of High Energy Physics, 2016 Gauge symmetries indicate redundancies in the description of the relevant degrees of freedom of a given field theory and restrict the nature of observable quantities. One of the problems faced by emergent theories of relativistic fields is to understand how gauge symmetries can show up in systems that contain no trace of these symmetries at a more ...
Raúl Carballo-Rubio +6 more
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When ℤ2 one-form symmetry leads to non-invertible axial symmetries
Journal of High Energy Physics, 2023 We study non-abelian gauge theories with fermions in a representation such that the surviving electric 1-form symmetry is ℤ2. This includes SU(N) gauge theories with matter in the (anti)symmetric and N even, and USp(2N) with a Weyl fermion in the adjoint,
Riccardo Argurio, Romain Vandepopeliere
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Gauge symmetry as symmetry of matrix coordinates [PDF]
The European Physical Journal C, 2000 We propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. Via this approach the gauge fields are not introduced at the first step, and they can be interpreted as fluctuations around some classical solutions of the model. The new point of view is connected to the lattice
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Gauging without initial symmetry [PDF]
Journal of Geometry and Physics, 2016 The gauge principle is at the heart of a good part of fundamental physics: Starting with a group G of so-called rigid symmetries of a functional defined over space-time Sigma, the original functional is extended appropriately by additional Lie(G)-valued 1-form gauge fields so as to lift the symmetry to Maps(Sigma,G).
Alexei Kotov +2 more
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Two Types of Jets and Quark and Chromon Model in QCD
Universe, 2019 We discuss the importance of the color reflection symmetry of the Abelian decomposition in QCD. The Abelian decomposition breaks up the color gauge field to three parts, the neuron, chromon, and the topological monopole, gauge independently. Moreover, it
Yongmin Cho
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