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Graviweak Unification

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arxiv 0706.3307 v2 pith:SB2WR6HQ submitted 2007-06-22 hep-th

Graviweak Unification

classification hep-th
keywords interactionsappearsfermionsgravitationalmodelssubalgebraunificationalgebra
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The coupling of chiral fermions to gravity makes use only of the selfdual SU(2) subalgebra of the (complexified) SO(3,1) algebra. It is possible to identify the antiselfdual subalgebra with the SU(2)_L isospin group that appears in the Standard Model, or with its right-handed counterpart SU(2)_R that appears in some extensions. Based on this observation, we describe a form of unification of the gravitational and weak interactions. We also discuss models with fermions of both chiralities, the inclusion strong interactions, and the way in which these unified models of gravitational and gauge interactions avoid conflict with the Coleman-Mandula theorem.

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  1. Left-right symmetry breaking in $E_6^L\times E_6^R$ occurs only in spacetime -- with possible implications for strong $CP$

    hep-ph 2026-07 conditional novelty 5.5

    Left–right exchange in E6^L×E6^R is spacetime parity, dissolving the second colour and yielding tree-level strong-CP conservation conditional on gravi-weak SU(2)_R.