N = 4 superextension of the Liouville equation with quaternion structure
The authors construct an N = 4 supersymmetric extension of the Liouville equation. It has internal SU(2) x SU(2) gauge symmetry and can be adequately formulated in terms of a real quaternion N = 4 superfield on which definite conditions of Grassmann analyticity are imposed. Both the dynamic equations as well as the analyticity conditions follow from the zero-curvature representation on the superalgebra SU(1,1/2). It is shown that the obtained system is invariant with respect to transformations of the infinitedimensional superalgebra of the SU(2) superstring, the realization of these transformations differing from those previously known. The possible connection between the N = 4 Liouville equation and the theory of the SU(2) superstring is discussed.
- Research Organization:
- Joint Institute for Nuclear Research, Dubna
- OSTI ID:
- 7103963
- Journal Information:
- Theor. Math. Phys.; (United States), Vol. 63:2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BOLTZMANN-VLASOV EQUATION
SUPERSYMMETRY
BOSONS
FERMIONS
GAUGE INVARIANCE
GRADED LIE GROUPS
STRING MODELS
SU-2 GROUPS
SUPERGRAVITY
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUARK MODEL
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory