It has been clear for some time that string theory is a very promising candidate for a unified description
of the fundamental interactions, including quantum
gravity. Recent developments in the study of string
theory have made it clear that underlying the
various perturbative theories is a single, mysterious
framework that has come to be known as
"M-theory." The simplest Poincare invariant vacuum
of M-theory is eleven-dimensional flat space, while
various simple compactifications on circles, tori or
intervals give rise to the 10-dimensional
perturbative string theories. The M-theory picture
unifies an intricate web of dualities that connect the
various perturbative strings and their
compactifications.
However, answers to many of the most basic
questions about M-theory remain elusive. On the
one hand, we have little idea how to formulate the
theory in general backgrounds. Remarkably, two
approaches which formulate the gravitational
physics of M-theory in terms of "dual" gauge field
theories(without gravity) have appeared. The
Matrix theory formulation, and more recently
AdS/CFT duality, have given us ways of formulating
the theory in some very simple backgrounds with a
high degree of symmetry. However, they both have
important limitations. In both approaches it has
proven very difficult to study compactifications of the
theory to the physically interesting case of 4
astronomically large spacetime dimensions, and the
latter approach is only natural in asymptotically
Anti-de Sitter spacetimes. It is clear that a more
unified and background independent formulation of
M-theory would be an important step forward./// On the other hand, it is also important to ask how
our ideas about low energy physics are influenced
by the recent developments. D-branes, novel
conformal field theories, and other concepts which
are important in formulations of the theory are also
important new tools for low energy physics. For
instance, one can use D-branes to study "brane
world" scenarios whose phenomenology is different
in many ways from traditional heterotic string
phenomenology. Similarly, the novel conformal field
theories used in AdS/CFT duality can also appear in
the moduli spaces of string compactifications, and
can play an important role(by mediating phase
transitions) in alleviating the vacuum degeneracy
problem. An important and ill-understood link
between the high energy physics of microscopic
formulations and observable low energy physics is
provided by the hierarchy problems(the ratio of
M_w to M_pl and the smallness of the cosmological
constant Lambda). Finally, dualities have given us
increasing leverage on the thorny problems of black
holes, though still have yet to solve them. Work
toward understanding the correct way of
formulating M-theory may lead to progress in solving
these problems, and recent years have seen
several suggestions in this direction.
The "M-theory" workshop will focus on both finding
new formulations of the theory, and on exploring
the rich consequences developments in string and
M-theory might have for other branches of physics. |