An Exact Membrane Quantization from W(Infinity) Symmetry

Details An Exact Membrane Quantization from W(Infinity) Symmetry An Exact Membrane Quantization from W(Infinity) Symmetry

1995-04-06

arxiv.org/abs/hep-th/9504023v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

An exact quantization of the spherical membrane moving in flat target spacetime backgrounds is performed. Crucial ingredients are the exact integrabilty of the $3D~SU(\infty)$ continuous Toda equation and the quasi-finite highest weight irreducible representations of $W_{\infty}$ 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.

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