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arXiv · 1106.1585

New superspaces/algebras for superparticles/strings

Warren Siegel
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Abstract

We describe covariant derivatives with respect to the coordinates of the full superPoincaré group and dual coordinates, for Yang-Mills and supergravity. The derivatives have engineering dimension running from 0 to 2. Prepotentials appear as potentials for Lorentz derivatives (spin). Their role is clarified in a lightcone analysis, where they also act as compensating gauge parameters and Hertz potentials. Field strengths appear as potentials for dual-coordinate derivatives, until dimensional reduction. These generalizations extend the superstring's affine Lie algebra, and generalize gauge couplings for the superparticle.

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Warren Siegel. 2011-06-08. New superspaces/algebras for superparticles/strings. https://arxiv.org/abs/1106.1585

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