The structure of the ground ring in critical $W_3$ gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX (elsart)

Scientific paper

By explicit calculation, I determine the structure of the ground ring of the
critical $W_3$ gravity and show that there is an $su(3)$ invariant quadratic
relation among the six basic elements. By using this result, I also construct
some discrete physical states of the critical $W_3$ gravity.

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