New superspaces/algebras for superparticles/strings

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.

37 pages

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Cited by in corpus (9)

• Doubled α'-Geometry
• Superspace with manifest T-duality from type II superstring
• Ramond-Ramond gauge fields in superspace with manifest T-duality
• Natural curvature for manifest T-duality
• Null Polygonal Wilson Loops in Full N=4 Superspace
• Pre-potential in the $Ad{S}_5\times S^5$ Type IIB superspace
• F-theory superspace backgrounds
• The Covariant Superstring on K3
• Yang-Mills by dimensionally reducing Chern-Simons