Dr Lee McCulloch-James
Symplectic structures and two spinor chiral formulations 
of Einstein-matter Lagrangians.
(64K, AMS-Latex)

ABSTRACT.  Equivalent chiral Lagrangians for (complex) Einstein equations 
are collected and related by their identical (infinite dimensional) (pre)symplectic structures. Viewing Plebanski's Lagrangian that employs an $sl(2,C)$-valued field variable alternative to the tetrad as a constrained BF theory, extensions to other (super) gauge groups follow naturally. Accordingly, scalar and spinor matter field couplings to an 
Einstein-Maxwell Lagrangian employing $gl(2,C)$-valued (spinor desnity)field variables are derived. Usiing instead, spin $\thalf$ fields as dynamical variables and symplectic techniques a succinct derivation of the Witten-Nester two-form as a Noether charge is realised.