Parity from gauge symmetry

Abstract We argue that Left-Right parity symmetry $${\mathcal {P}}$$ 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 sche...

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Bibliographic Details
Main Authors: Alessio Maiezza, Fabrizio Nesti
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10390-1
Description
Summary:Abstract We argue that Left-Right parity symmetry $${\mathcal {P}}$$ 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 $${\mathcal {P}}$$ P . The possible unifying gauge groups are identified as $$\mathrm{SO}(1,7)$$ SO ( 1 , 7 ) for gravitational and weak interactions, or $$\mathrm{SO}(7,7)$$ SO ( 7 , 7 ) for a complete unification.
ISSN:1434-6052