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# arivero

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Second instalment, I do not know how to title it. The topic is "reorganizing 496" to see if we can go down to SSM, or sideways to E8 Sep 2, 2017

arivero was last seen:
Jul 19, 2018 at 3:09 PM
1. jakob1111
Hi, in your paper "The strange formula of Dr. Koide" you mention your list of
phenomenologically inspired relationships, which is supposed to be available at http://www.physcomments.org/wiki/index.php?title=Bakery:HdV . This site is no longer online and I was wondering if it is still available somewhere?
1. jakob1111
Jan 22, 2018
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2. arivero
Jan 22, 2018
jakob1111 likes this.
2. arivero
Second instalment, I do not know how to title it. The topic is "reorganizing 496" to see if we can go down to SSM, or sideways to E8
1. arivero
\begin{array}{llll}
496=\\
{\bf (1,24,1^c) }&+{\bf [1,15,\bar 3^c]}&+{\bf [1, \bar {15}, 3^c]}&+\\
1,24,8^c&+[1,10,\bar 6^c]&+[1,\bar {10},6^c]&+\\
(1,1,8^c)&&&+\\&(2,5,3^c)&+(2,\bar 5,\bar 3^c)&+\\
&(1,1,1^c)&+[1,1,1^c]\\
\end{array}
This is straight from a Gellmann-Ramond-Slansky https://inspirehep.net/record/112502?ln=es
We apply (2.18) to get SO(32)
to $SO(2) \times SU(5) \times SU(3) \times U(1)$
Sep 2, 2017
2. arivero
SO(2N) has in some sense a concept of antiparticle, say $x^\dagger$, inherited of SU(N) via $2N = N + \bar N$. We can use it to rearrange group elements, for instance the combinations that are going to branch into (N,N) and (Adj N, 1)+(1,Adj N) under decomposition to $SO(N) \times SO(N)$, or very similarly to U(N).
Sep 3, 2017
3. arivero
So for SO(32) we have 496 = 256 + (120+120), but somehow this 256 does not seem to be the one that is divided in 128+128 by stringers. On the other hand we can also recombine as $x\pm x^\dagger$ but we get (120 + 120) + (120 + 136). It adds to 240 + 256 but it doesnt look as E8xE8; no SO(16) spinor :-(
Sep 3, 2017
3. arivero
Ok, so lets go: "Some symmetries of the scalar sector of the SSM" The three generations supersymmetric standard model.
2. arivero
Another way to escalate: just colouring the 5 of SU(5) upgrades it to a 15 of SU(5)xSU(3), and a SU(15) invites to organize the whole stuff at least in SO(30). And the whole thing of pairing two charges is pretty much -neglecting orientability issues- as an open string terminating in Chan Paton charges.
Sep 2, 2017
3. arivero
This is a direct invitation to check the organization of SO(32), isn't it? Well, it did not ocurred me until this year :-(
Sep 2, 2017
4. Sep 4, 2017

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