Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the SLq(2) extension of the standard model and the measure of charge   Our SLq(2) extension of the standard model is constructed by replacing the
elementary field operators, $\Psi (x)$, of the standard model by
$\hat{\Psi}^{j}_{mm'}(x) D^{j}_{mm'}$ where $D^{j}_{mm'}$ is an element of the
$2j + 1$ dimensional representation of the SLq(2) algebra, which is also the
knot algebra. The allowed quantum states $(j,m,m')$ are restricted by the
topological conditions \begin{equation*} (j,m,m') = \frac{1}{2}(N,w,r+o)
\end{equation*} postulated between the states of the quantum knot $(j,m,m')$
and the corresponding classical knot $(N,w,r+o)$ where the $(N,w,r)$ are (the
number of crossings, the writhe, the rotation) of the 2d projection of the
corresponding oriented classical knot. Here $o$ is an odd number that is
required by the difference in parity between $w$ and $r$. There is also the
empirical restriction on the allowed states \begin{equation*}
(j,m,m')=3(t,-t_3,-t_0)_L \end{equation*} that holds at the $j=\frac{3}{2}$
level, connecting quantum trefoils $(\frac{3}{2},m,m')$ with leptons and quarks
$(\frac{1}{2}, -t_3, -t_0)_L$. The so constructed knotted leptons and quarks
turn out to be composed of three $j=\frac{1}{2}$ particles which unexpectedly
agree with the preon models of Harrari and Shupe. The $j=0$ particles, being
electroweak neutral, are dark and plausibly greatly outnumber the quarks and
leptons. The SLq(2) or $(j,m,m')$ measure of charge has a direct physical
interpretation since $2j$ is the total number of preonic charges while $2m$ and
$2m'$ are the numbers of writhe and rotation sources of preonic charge. The
total SLq(2) charge of a particle, measured by writhe and rotation and composed
of preons, sums the signs of the counterclockwise turns $(+1)$ and clockwise
turns $(-1)$ that any energy-momentum current makes in going once around the
knot...
  Keywords: Quantum group; electroweak; knot models; preon models; dark matter.

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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an