Supersymmetric Kadomtsev{endash}Petviashvili hierarchy: {open_quotes}Ghost{close_quotes} symmetry structure, reductions, and Darboux{endash}B{umlt a}cklund solutions
- Department of Physics, University of Illinois at Chicago, 845 West Taylor Street, Chicago, Illinois 60607-7059 (United States)
- Institute of Nuclear Research and Nuclear Energy, Boul. Tsarigradsko Chausee 72, BG-1784 Sofia (Bulgaria)
This paper studies Manin{endash}Radul supersymmetric Kadomtsev{endash}Petviashvili hierarchy (MR-SKP) in three related aspects: (i) We find an infinite set of additional ({open_quotes}ghost{close_quotes}) symmetry flows spanning the same (anti)commutation algebra as the ordinary MR-SKP flows. (ii) The latter are used to construct consistent reductions SKP{sub r/2,m/2} of the initial unconstrained MR-SKP hierarchy which involves a nontrivial modification for the fermionic flows. (iii) For the simplest constrained MR-SKP hierarchy SKP{sub (1) /(2) , (1) /(2) } we show that the orbit of Darboux{endash}B{umlt a}cklund transformations lies on a supersymmetric Toda lattice being a square root of the standard one-dimensional Toda lattice, and also we find explicit Wronskian-ratio solutions for the super-tau function. {copyright} {ital 1999 American Institute of Physics.}
- OSTI ID:
- 341367
- Journal Information:
- Journal of Mathematical Physics, Vol. 40, Issue 6; Other Information: PBD: Jun 1999
- Country of Publication:
- United States
- Language:
- English
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