Line Operators in the Standard Model

Abstract

There is an ambiguity in the gauge group of the Standard Model. The group is $G=SU(3)\times SU(2)\times U(1)/\Gamma$, where $\Gamma$ is a subgroup of ${\mathbf{Z}}_6$ which cannot be determined by current experiments. We describe how the electric, magnetic and dyonic line operators of the theory depend on the choice of $\Gamma$. We also explain how the periodicity of the theta angles, associated to each factor of $G$, differ.

17 pages. 5 figures. v2: typos corrected

References in corpus (11)

• Topological Field Theory of Time-Reversal Invariant Insulators
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Seeing the magnetic monopole through the mirror of topological surface states
• Symmetries and Strings in Field Theory and Gravity
• Reading between the lines of four-dimensional gauge theories
• Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality
• Monopoles, Duality, and String Theory
• The Physics Programme Of The MoEDAL Experiment At The LHC
• Can Electro-Weak $\h$-Term be Observable ?
• Magnetic discrete gauge field in the confining vacua and the supersymmetric index
• Wilson-'t Hooft operators and the theta angle

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