1995/04/06 by Carlos Castro, Castro, Carlos
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9504023
15 pages
arxiv created 1995/04/25 · arxiv updated 2009/11/30
An exact quantization of the spherical membrane moving in flat target spacetime backgrounds is performed. Crucial ingredients are the exact integrabilty of the 3D~SU(∞) continuous Toda equation and the quasi-finite highest weight irreducible representations of W∞ algebras. Both continuous and discrete energy levels are found. The latter are found for periodic-like solutions. Membrane wavefunctionals solutions are found in terms of Bessel's functions and plausible relations to singleton field theory are outlined.