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  Parity $P$ symmetry restored by 1 in the $1 \oplus \bar{5} \oplus 10$?

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In Lie Algebras in Particle Physics 2ed - From Isospin to Unified Theories (Georgi, 1999) p.283

Georgi wrote:

enter image description here

When we include the $1$ in the $\rm SU(5)$ Unified Theory model, we get the 16 $$ 1 \oplus \bar{5} \oplus 10, $$ which we can restore the Parity $P$ symmetry lost in $\rm SU(5)$ Unified Theory model.

questions

  • why is the Parity P symmetry lost in $\rm SU(5)$ Unified Theory model? I meant P is lost in weak interactions in general.

  • why is the Parity P symmetry restored in the 16 as $1 \oplus \bar{5} \oplus 10$?

I am confused.

This post imported from StackExchange Physics at 2020-12-01 17:42 (UTC), posted by SE-user annie marie heart
asked Jul 20, 2020 in Theoretical Physics by annie marie heart (1,205 points) [ no revision ]

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