New superspaces/algebras for superparticles/strings

Details New superspaces/algebras for superparticles/strings New superspaces/algebras for superparticles/strings

2011-06-08

arxiv.org/abs/1106.1585v1

Physics

High Energy Physics

High Energy Physics - Theory

37 pages

Scientific paper

We describe covariant derivatives with respect to the coordinates of the full superPoincar\'e 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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