From Wrapped Supermembrane to M(atrix) Theory From Wrapped Supermembrane to M(atrix) Theory
Abstract
Description
The issue of justifying the matrix-theory proposal is revisited. We first discuss how the matrix-string theory is derived directly starting from the eleven dimensional supermembrane wrapped around a circle of radius $R=g_s\ell_s$, without invoking any stringy assumptions, such as S- and T-dualities. This derivation provides us a basis for studying both string ($R\to 0)$- and M ($R\to \infty$)-theory limits of quantum membrane theory in a single unified framework. In particular, we show that two different boosts of supermembrane, namely one of unwrapped membrane along the M-theory circle and the other of membrane wrapped about a transervse direction which is orthogonal to the M-theory circle, give the same matrix theory in the 11 dimensional limit, $R\to \infty$ (with $N\to \infty$). We also discuss briefly the nature of possible covariantized matrix (string) theories.
Talk presented at the 3rd Sakharov International Conference on Physics, Moscow, June, 2002
Talk presented at the 3rd Sakharov International Conference on Physics, Moscow, June, 2002