Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SU$_M$(2)$\times$U$_C$(1) Gauge Symmetry in High $T_c$ Superconductivity   The square lattice structure of $CuO_2$ layers and the strongly correlated
property of electrons indicate that the high $T_c$ superconductivity in
cuprates can be described by a SO$_M$(5) coherent pairing state in which a
SU$_M$(2)$\times$U$_C$(1) gauge symmetry is embedded. The spin and charge
fluctuations that characterize the low energy magnetic excitations in cuprates
are controlled by this intrinsic SU$_M$(2)$\times$U$_C$(1) gauge symmetry.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: math
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph