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- W155774638 abstract "We apply the coadjoint orbit technique to the group of area preserving diffeomorphisms (APD) of a 2D manifold, particularly to the APD of the semi-infinite cylinder which is identified with w∞. The geometrical action obtained is relevant to both w gravity and 2D turbulence. For the latter we describe the Hamiltonian, which appears to be given by the Schwinger mass term, and discuss some possible developments within our approach. Next we show that the set of highest weight orbits of w∞ splits into subsets, each of which consists of highest weight orbits of wN for a given N. We specify the general APD geometric action to an orbit of wN and describe an appropriate set of observables, thus getting an action and observables for wN gravity. We compute also the Ricci form on the wN orbits, what gives us the critical central charge of the wN string, which appears to be the same as the one of the WN string." @default.
- W155774638 created "2016-06-24" @default.
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- W155774638 date "1993-04-20" @default.
- W155774638 modified "2023-09-23" @default.
- W155774638 title "GEOMETRY AND PHYSICS ON w∞ ORBITS" @default.
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- W155774638 doi "https://doi.org/10.1142/s0217732393002622" @default.
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