Classical integrability and higher symmetries of collective string field theory
Mar, 19917 pages
Published in:
- Phys.Lett.B 266 (1991) 35-41
- Published: 1991
Report number:
- BROWN-HET-801
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Abstract: (Elsevier)
We demonstrate the complete integrability of classical collective field theory. An exact equivalence to the classical N -body problem of Calogero type is described. A Lax pair is constructed for the general continuum collective equations. A form of background independence is pointed out. An infinite set of commuting currents is constructed in the general case. A large symmetry algebra is discovered and shown to take the form of a W ∞ algebra.- field theory: scalar
- integrability
- energy levels
- differential equations: Lax
- current: conservation law
- field theory: string
- algebra: Virasoro
- algebra: W(infinity)
- field theory: collective
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