A particle mechanics description of antisymmetric tensor fields
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In this article, the action for a massless relativistic point particle with a gauged N-extended worldline supersymmetry was discussed, which yields, upon quantization, a relativism wave equation for pure spin N/2.Abstract:
In a previous work the authors discussed the action for a massless relativistic point particle with a gauged N-extended worldline supersymmetry that yields, upon quantisation, a relativistic wave equation for pure spin N/2. They present further details, emphasising the N=2 particle model for which a wavefunction with O(2) charge q can be interpreted as the field strength of a (q-1)-form gauge potential. They present extensions of this model that yield field equations for massless and massive antisymmetric tensors in arbitrary spacetime dimension d. They show how to obtain chirality and generalised self-duality conditions.read more
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References
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Spontaneous breaking of supersymmetry through dimensional reduction
Joel Scherk,John H. Schwarz +1 more
TL;DR: In this article, a general technique for deriving consistent theories with spontaneously broken supersymmetry and massive gravitinos is illustrated by exploiting the chiral invariance of N = 1 supergravity in four dimensions to construct a theory with broken N = 2 supersymmetric in three dimensions.
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Particle spin dynamics as the grassmann variant of classical mechanics
F. A. Berezin,M. S. Marinov +1 more
TL;DR: In this paper, a generalization of classical mechanics is presented, where dynamical variables (functions on the phase space) are assumed to be elements of an algebra with anticommuting generators (the Grassmann algebra).
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A Lagrangian formulation of the classical and quantum dynamics of spinning particles
TL;DR: In this article, a spinless particle is described in terms of its position φ μ ( τ ) and of an additional spin degree of freedom ψ μ( τ ) which is an odd element of a Grassmann algebra, and its motion is described by an action which is invariant under general reparametrizations and local supergauge transformations.
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Local Supersymmetry for Spinning Particles
TL;DR: In this paper, first and second order forms of the covariant action for a spinning particle are exhibited, which consistently incorporates the necessary constraints and is invariant under both local supersymmetry and general time parameter transformations, and provides a simple one-dimensional model for the interaction between matter and supergravity.
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Wave equations for arbitrary spin from quantization of the extended supersymmetric spinning particle
TL;DR: In this paper, a relativistic particle with a gauged N-extended line supersymmetry was presented and shown to be compatible with worldline supersymmetric only for N⩽2.