Update on the quantum properties of the Supermembrane

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.

7pg, latex. Contribution to the RTN proceedings Varna 08

References in corpus (13)

• M Theory As A Matrix Model: A Conjecture
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• N = 8 Superconformal Chern--Simons Theories
• Supermembranes with Winding
• On the Stability of Compactified D=11 Supermembranes
• Discreteness of the spectrum of the compactified D=11 supermembrane with non-trivial winding
• On The spectrum of a Noncommutative Formulation of the D=11 Supermembrane with Winding
• On the spectrum of a matrix model for the D=11 supermembrane compactified on a torus with non-trivial winding
• D=11 Supermembrane wrapped on calibrated submanifolds
• D-branes, Symplectomorphisms and Noncommutative Gauge Theories
• The heat kernel of the compactified D=11 supermembrane with non-trivial winding
• Intrinsic Moment of Inertia of Membranes as bounds for the mass gap of Yang-Mills Theories
• The discrete spectrum of the D=11 bosonic M5-brane