Zero curvature condition of OSp(2/2) and the associated supergravity theory
- International Centre for Theoretical Physics, Trieste (Italy)
- Rochester Univ., NY (United States). Dept. of Physics and Astronomy
In this paper, 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. The authors also derive the one-parameter family of N = 2 supersymmetric KdV equations without a bi-Hamiltonian structure in this approach. Following the authors' earlier proposal, the authors interpret the zero curvature conditions as a gauge anomaly equation which brings out 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.
- OSTI ID:
- 7172695
- Journal Information:
- International Journal of Modern Physics A; (United States), Vol. 7:18; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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SUPERGRAVITY
GRADED LIE GROUPS
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CURRENT ALGEBRA
FERMIONS
GAUGE INVARIANCE
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SUPERSYMMETRY
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
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FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SYMMETRY
SYMMETRY GROUPS
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