Horizontal Gauge Symmetry?

Question

Some physics literature says Horizontal Symmetry of gauge theory, such as this paper, available also at arXiv.
What does this Horizontal Symmetry of gauge theory or Horizontal gauge group mean? Does that mean the symmetry group in the same energy scale (horizontal, not go up or down of an energy scale)?
People speak about the Horizontal Symmetry, such as in the Symmetry for 3 family of leptons and quarks.

wonderich · Accepted Answer

Horizontal symmetries or family symmetries are various discrete, global, or local symmetries between (three) families or generations of quarks and leptons  in particle physics.
See References in https://en.wikipedia.org/wiki/Family_symmetries.
Horizontal gauge symmetries would be Horizontal symmetries that are local and gauged.

Horizontal Gauge Symmetry?

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