Classical integrability and higher symmetries of collective string field theory

✍ Scribed by Jean Avan; Antal Jevicki

• Book ID: 113359310
• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 432 KB
• Volume: 266
• Category: Article
• ISSN: 0370-2693
• DOI: 10.1016/0370-2693(91)90740-h

✦ Synopsis

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_infinity algebra.