The Geometric Structure of $W_N$-Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

30 pages, 3 figsures, QMW-93-6

Scientific paper

10.1016/0550-3213(94)90622-X

The full non-linear structure of the action and transformation rules for
$\W_N$-gravity coupled to matter are obtained from a non-linear truncation of
those for $w_ \infty$ gravity. The geometry of the construction is discussed,
and it is shown that the defining equations become linear after a twistor-like
transform.

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