Membranes and Matrix Models

Abstract

Section I contains introductory remarks about surface motions. Section II gives a detailed derivation of $H=-\Delta -Tr{\sum }_{i<j}[X_i,X_j{]}^2$ as describing a quantized discrete analogue of relativistically invariant membrane dynamics. Section III concerns the question of zero-energy bound-states in SU(N)-invariant supersymmetric matrix models. Section IV discusses the space of solutions of some differential matrix equations on $(-\infty ,+\infty )$, interpolating between different representations of $su(2)$. Some exercises are added, and one remark/conjecture concerning 5-commutators.

References in corpus (1)

• Vanishing index for supersymmetric 2-matrix model with odd dimensional gauge group