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SUMMARY:SLE - non-local observables in critical systems - Adam Gamsa\, Uni
 versity of Oxford
DTSTART:20071122T141500Z
DTEND:20071122T154500Z
UID:TALK8935@talks.cam.ac.uk
CONTACT:Joe Bhaseen
DESCRIPTION:Abstract: Domain walls in statistical systems are extended obj
 ects and\nhence by definition non-local. Since the models are defined by l
 ocal\nHamiltonians\, typically containing only nearest neighbour interacti
 ons\,\nproviding a description of these domain walls is a non-trivial task
 . In\nthis talk\, I shall explain how a mathematical description of these\
 ncurves has arisen at the critical point\, based only on an interpretation
 \nof what is meant by the conformal invariance of the curves. This is\nkno
 wn as Schramm Loewner evolution (SLE)\, predictions of which are seen\nto 
 correspond to well-known correlation functions in conformal field\ntheory.
  Some new results\nare presented: in particular\, SLE is seen to be an ade
 quate description\nof curves in the 3-state model with symmetry breaking b
 oundary\nconditions\, even though SLE is necessarily reflection symmetric.
 \n
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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