• Corpus ID: 15691939

On the Exact Quantum Integrability of the Membrane

  title={On the Exact Quantum Integrability of the Membrane},
  author={Carlos Castro},
  journal={arXiv: High Energy Physics - Theory},
  • C. Castro
  • Published 6 May 1996
  • Physics
  • arXiv: High Energy Physics - Theory
The exact quantum integrability problem of the membrane is investigated. It is found that the spherical membrane moving in flat target spacetime backgrounds is an exact quantum integrable system for a particular class of solutions of the light-cone gauge equations of motion : a dimensionally-reduced $SU(\infty)$ Yang-Mills theory to one temporal dimension. Crucial ingredients are the exact integrability property of the $3D~SU(\infty)$ continuous Toda theory and its associated dimensionally… 


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