Zero curvature condition of OSp(2/2) and the associated supergravity theory Das, A [International Centre for Theoretical Physics, Trieste (Italy)]; Wenjui, Huang; Roy, S [Rochester Univ., NY (USA). Dept. of Physics and Astronomy] 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SUPERGRAVITY; GRADED LIE GROUPS; GAUGE INVARIANCE; HAMILTONIANS; 661100; CLASSICAL AND QUANTUM MECHANICS The N = 2 fermionic extensions of the KdV equations are derived from the zero curvature condition associated with the graded Lie algebra of OSp(2/2). These equations lead to two bi-Hamiltonian systems one of which is supersymmetric. We also derive the one-parameter family of N = 2 supersymmetric KdV equation without a bi-Hamiltonian structure in this approach. Following our earlier proposal, we interpret the zero curvature condition as a gauge anomaly equation which brings our the underlying current algebra for the corresponding 2D-supergravity theory. This current algebra is, then, used to obtain the operator product expansions of various fields of this theory. (author). 34 refs. International Centre for Theoretical Physics (ICTP), Trieste (Italy) OSTI; NTIS (US Sales Only); INIS IAEA 1991-06-01 English Technical Report Other Information: PBD: Jun 1991 Medium: X; Size: 27 p. https://doi.org/ ON: DE92609091; CNN: Contract DE-AC02-76ER13065 [] IC-91/125; UR-1215; ER-13065-667. Other: ON: DE92609091; CNN: Contract DE-AC02-76ER13065; TRN: XA9129647081603 INIS; SCA: 661100; PA: AIX-22:081603; SN: 91000608780 2008-02-12 10105580