2009/01/31 by M. P. Garcia del Moral, M.P. Garcia del Moral
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Compactification (mathematics) #Discrete spectrum #Focus (optics) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Spectral properties #Spectrum (functional analysis) #hep-th
paper · pdf · doi:10.1002/prop.200900058
published as Fortsch.Phys.57:558-565,2009 · 7pg, latex. Contribution to the RTN proceedings Varna 08
arxiv created 2009/01/31 · openalex publication_date 2009/04/21 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
Abstract In this note we summarize some of the quantum properties found since the early 80's until nowdays that characterize at quantum level the spectrum of the supermembrane. In particular we will focus on a topological sector of the 11D supermembrane that, contrary to the general case, has a purely discrete spectrum at supersymmetric level. This construction has been consistently implemented in different types of backgrounds: toroidal and orbifold‐type with G2 structure able to lead to a true G2 compactification manifold. This theory has N = 1 supersymmetries in 4D. comment on the relevant points of this construction as well as on its spectral characteristics. We will also make some comments on the quantum properties of some effective formulation of multiple M2's theories recently found.