Abstract
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.
Das, A;
[1]
Wenjui, Huang;
Roy, S
[2]
- International Centre for Theoretical Physics, Trieste (Italy)
- Rochester Univ., NY (USA). Dept. of Physics and Astronomy
Citation Formats
Das, A, Wenjui, Huang, and Roy, S.
Zero curvature condition of OSp(2/2) and the associated supergravity theory.
IAEA: N. p.,
1991.
Web.
Das, A, Wenjui, Huang, & Roy, S.
Zero curvature condition of OSp(2/2) and the associated supergravity theory.
IAEA.
Das, A, Wenjui, Huang, and Roy, S.
1991.
"Zero curvature condition of OSp(2/2) and the associated supergravity theory."
IAEA.
@misc{etde_10105580,
title = {Zero curvature condition of OSp(2/2) and the associated supergravity theory}
author = {Das, A, Wenjui, Huang, and Roy, S}
abstractNote = {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.}
place = {IAEA}
year = {1991}
month = {Jun}
}
title = {Zero curvature condition of OSp(2/2) and the associated supergravity theory}
author = {Das, A, Wenjui, Huang, and Roy, S}
abstractNote = {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.}
place = {IAEA}
year = {1991}
month = {Jun}
}