Odd Poisson brackets and the fermionic hierarchy of Becker and Becker

Publisher Website
Google Scholar
Abstract
A new fermionic extension of the KdV hierarchy was recently found by Becker and Becker (1993) in relation to two-dimensional quantum supergravity, and it was shown that the hierarchy possesses a supersymmetry which has been exploited to prove the integrability of the hierarchy by Figueroa-O'Farrill and Stanciu (1993). Here, a larger group of fermionic symmetries of the new hierarchy is demonstrated and the bi-Hamiltonian structure is expressed in terms of odd Poisson brackets which are related to the antibracket of the Batalin-Vilkovisky formalism.

This publication has 9 references indexed in Scilit: