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...

Full description

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
_version_ 1818204721247158272
author Alessio Maiezza
Fabrizio Nesti
author_facet Alessio Maiezza
Fabrizio Nesti
author_sort Alessio Maiezza
collection DOAJ
description 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.
first_indexed 2024-12-12T03:45:44Z
format Article
id doaj.art-d80a654529a848f6bed8e76971e4fa86
institution Directory Open Access Journal
issn 1434-6052
language English
last_indexed 2024-12-12T03:45:44Z
publishDate 2022-05-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj.art-d80a654529a848f6bed8e76971e4fa862022-12-22T00:39:35ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-05-018251910.1140/epjc/s10052-022-10390-1Parity from gauge symmetryAlessio Maiezza0Fabrizio Nesti1Rudjer Bošković InstituteDipartimento di Scienze Fisiche e Chimiche, Università degli Studi dell’AquilaAbstract 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.https://doi.org/10.1140/epjc/s10052-022-10390-1
spellingShingle Alessio Maiezza
Fabrizio Nesti
Parity from gauge symmetry
European Physical Journal C: Particles and Fields
title Parity from gauge symmetry
title_full Parity from gauge symmetry
title_fullStr Parity from gauge symmetry
title_full_unstemmed Parity from gauge symmetry
title_short Parity from gauge symmetry
title_sort parity from gauge symmetry
url https://doi.org/10.1140/epjc/s10052-022-10390-1
work_keys_str_mv AT alessiomaiezza parityfromgaugesymmetry
AT fabrizionesti parityfromgaugesymmetry