Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I read an article about fo generating mass for the first two generations of quarks by breaking the flavour permutation symmetry S3. In the top of the page 5 of the following article: http://arxiv.org/pdf/hep-ph/9807214v2.pdf ,

they mention that "Mq1 transforms as the mixed symmetry term of the doublet complex

4tensorial representation of the S(3)d diagonal subgroup of SL(3) ⊗ SR(3)". What does this means? What transformations on the left and on the right leave the following matrix invariant:

[tex] \begin{pmatrix} A1 & iA2 &-A1-iA2\\ -iA2& -A1 &A1+iA2\\ -A1+iA2&A1-iA2&0 \end{pmatrix}[/tex]

Best regards.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The breaking of the flavour permutational symmetry

**Physics Forums | Science Articles, Homework Help, Discussion**