Quantized null p-branes in light-cone gauge have physical Hilbert spaces split into p+1 classes of standing-wave states.
Super p-Brane Theories and New Spacetime Superalgebras
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We present a geometric formulation of super $p$--brane theories in which the Wess--Zumino term is $(p+1)$--th order in the supersymmetric currents, and hence is manifestly supersymmetric. The currents are constructed using a supergroup manifold corresponding to a generalization of a superalgebra which we found sometime ago. Our results generalize Siegel's analogous reformulation of the Green--Schwarz superstring. The new superalgebras we construct underly the free differential superalgebras introduced by de Azc\'arraga and Townsend a few years ago.
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Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space
Quantized null p-branes in light-cone gauge have physical Hilbert spaces split into p+1 classes of standing-wave states.