Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-04-30
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 8 figures; Lecture presented at the XIVth International Congress on Mathematical Physics, July 28 - August 2, 2003,
Scientific paper
Over the last few years, string theory has changed profoundly. Most importantly, novel duality relations have emerged which involve gauge theories of brane excitations on one side and various closed string backgrounds on the other. In this lecture, we introduce the fundamental ingredients of modern string theory and explain how they are modeled through 2D (boundary) conformal field theory. This so-called `microscopic description' of strings and branes is an active research area with new results ranging from the classification and construction of boundary conditions to studies of 2D renormalization group flows. We shall provide an overview of such developments before concluding the lecture with an extensive outlook on some research that is motivated by current problems in string theory. This includes investigations of non-rational and non-unitary conformal field theories.
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