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Aspects Topologiques De La Physique En Basse Dimension. Topological Aspects of Low Dimensional Systems (English, French, Hardcover, 1999 ed.)
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Aspects Topologiques De La Physique En Basse Dimension. Topological Aspects of Low Dimensional Systems (English, French, Hardcover, 1999 ed.)
Series: Les Houches: Ecole D'ete de Physique Theorique, v. 69
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The use of concepts borrowed from topology has led to major
athances in t,heorctical physics in recent years. hl quailt,uni
field theory. the pionvering work \>?. Skyrme and follow ups on
classical solut,ions of Yalig AIills Higgs t,heories has lead to
the discovery of t,he lion peturbati~e sectors of gauge theory.
Topology has also found its way into colidensed matter physics.
Clas sification of defects in ordered media bg 11oinotop~ theorg is
a well known example (see e.g. Kleman and Toulouse. Les Kouches
XXXV, 1980). More recent,ly. topology and condensed matter physics
have again met in t,hc realm of the fract,ioiial cluantml Hall
effect. Experimental progress in molecular beam epitaxy techniques
leading to high mohilit? samples al lowed the disco\;ery of this
reniarkablc and now1 phenomelloii. Th~se cle veloprnents lead also
to the at,t,rib~~tion of the 1998 Nobel Prize in physics to
Laughlin, Storrner and Tsui. The rlotions of fractional charge as
well as fractional statistics ran be interpreted by a topological
interaction of infinite rauge. So it is natural to find in the Les
Houclles series a school devoted to quantum Hall physics.
intcrinediate st,atistics and Chem Sirnons theory. This session
also included some one dimensional physics topics like t,he
Ca,logero Sutkerland model and some Lut,t,inger liquid physics.
Polymer physics is also related to topology. 111 this field
topological const,rairlts may be described by concept,^ from knot
theory and statist'ical physics. Hence this session also included
Brownian motion theory related to knot theory.
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