Supermembranes and M(atrix) Theory

Abstract

In these lectures, we review the D=11 supermembrane and supersymmetric matrix models at an introductory level. We also discuss some more recent developments in connection with non-perturbative string theory.

46 pages, 4 figures, Lectures given by H. Nicolai at the Trieste Spring School on Non-Perturbative Aspects of String Theory and Supersymmetric Gauge Theories, 23 - 31 March 1998

References in corpus (11)

• Why is the Matrix Model Correct?
• Monte Carlo Approach to M-Theory
• Constraints From Extended Supersymmetry in Quantum Mechanics
• Superspace Geometry for Supermembrane Backgrounds
• Duality-Symmetric Eleven-Dimensional Supergravity and its Coupling to M-Branes
• Why Matrix Theory is Hard
• Asymptotic Search for Ground States of SU(2) Matrix Theory
• Supermembranes with Winding
• On The Construction of Zero Energy States in Supersymmetric Matrix Models III
• The supermembrane with winding
• Absence of Zero Energy States in Reduced SU(N) 3d Supersymmetric Yang Mills Theory

Cited by in corpus (16)

• D-Brane Primer
• The LQG -- String: Loop Quantum Gravity Quantization of String Theory I. Flat Target Space
• Discreteness of the spectrum of the compactified D=11 supermembrane with non-trivial winding
• Twisted Cohomotopy implies twisted String structure on M5-branes
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• On the spectrum of a matrix model for the D=11 supermembrane compactified on a torus with non-trivial winding
• Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
• The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
• Quadrupole Instabilities of Relativistic Rotating Membranes
• Master Canonical Action and BRST Charge of the M Theory Bosonic Five Brane
• Towards the Ground State of the Supermembrane
• Spiky membranes
• The membrane as a perturbation around string-like configurations
• Super Five Brane Hamiltonian and the Chiral Degrees of Freedom
• On The Interaction Of D0-Brane Bound States And RR Photons
• A general procedure to find ground state solutions for finite $N$ M(atrix) theory. Reduced models and SUSY quantum cosmology