Parity from gauge symmetry

Abstract

We argue that Left-Right parity symmetry $\mathcal{P}$ can arise as a discrete remnant of a unified gauge symmetry. The high-energy unification necessarily includes the gauging of the Lorentz symmetry, bringing into the game gravitational interactions, and leading to a gravi-GUT scheme. Parity emerges unbroken below the Planck scale, and can be broken spontaneously at lower energies making contact with the Standard Model. This framework motivates the spontaneous origin of parity violation as in Left-Right symmetric theories with $\mathcal{P}$. The possible unifying gauge groups are identified as SO(1,7) for gravitational and weak interactions, or SO(7,7) for a complete unification.

7 pages, version to appear in EPJC

References in corpus (11)

• Measurement of the permanent electric dipole moment of the neutron
• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• The Higgs Phenomenon in Quantum Gravity
• Right Handed Quark Mixing in Left-Right Symmetric Theory
• Strong P invariance, neutron EDM and minimal Left-Right parity at LHC
• Graviweak Unification
• Primordial Monopoles and Strings, Inflation, and Gravity Waves
• A low-energy perspective on the minimal left-right symmetric model
• Left-right symmetry and electric dipole moments. A global analysis
• Quantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity
• Uncovering an Axion Mechanism with the EDM Portfolio