Membrane Dynamics in M(atrix) Theory
Ofer Aharony, Micha Berkooz (Rutgers University)
TL;DR
This paper investigates the properties and interactions of membranes in M(atrix) theory, comparing results with supergravity and exploring Lorentz invariance to deepen understanding of M theory's dynamics.
Contribution
It provides detailed analysis of membrane interactions, computes potentials, and offers evidence for eleven-dimensional Lorentz invariance in M(atrix) theory.
Findings
Long-range potentials match supergravity predictions
Membranes with finite velocities support Lorentz invariance
Analysis enhances understanding of membrane dynamics in M theory
Abstract
We analyze some of the kinematical and dynamical properties of flat infinite membrane solutions in the conjectured M theory proposed by Banks, Fischler, Shenker and Susskind. In particular, we compute the long range potential between membranes and anti-membranes, and between membranes and gravitons, and compare it with the supergravity results. We also discuss membranes with finite relative longitudinal velocities, providing some evidence for the eleven dimensional Lorentz invariance of the theory.
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