2006/09/30 by L. Boulton, Lyonell Boulton, M.P. García del Moral +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Hamiltonian (control theory) #Mathematical physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Riemann surface #Symplectic geometry #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.11.011
published as Nucl.Phys.B795:27-51,2008 · 33 pages, Latex. In this new version, several changes have been made and various typos were corrected
arxiv created 2007/09/19 · openalex publication_date 2007/11/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The spectrum of the bosonic sector of the D=11 supermembrane with central charges is shown to be discrete and with finite multiplicities, hence containing a mass gap. The result extends to the exact theory our previous proof of the similar property for the SU(N) regularised model and strongly suggest discreteness of the spectrum for the complete Hamiltonian of the supermembrane with central charges. This theory is a quantum equivalent to a symplectic non-commutative super-Yang-Mills in 2+1 dimensions, where the space-like sector is a Riemann surface of positive genus. In this context, it is argued how the theory in 4D exhibits confinement in the N=1 supermembrane with central charges phase and how the theory enters in the quark-gluon plasma phase through the spontaneous breaking of the centre. This phase is interpreted in terms of the compactified supermembrane without central charges.