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DESCRIPTION:There exists a deep correspondence between a class of physicall
y important functions—called "on-shell functions"—and certain (cluster vari
ety) subspaces of Grassmannian manifolds\, endowed with a volume form that
is left invariant under cluster coordinate transformations. These are calle
d "on-shell varieties" (which may or may not include all cluster varieties)
. It is easy to prove that the number of on-shell varieties is finite\, fro
m which it follows that the same is true for on-shell functions. This is po
werful and surprising for physics\, because these on-shell functions encode
complete information about perturbative quantum field theory.
LOCATION:ETH Zürich\, Hönggerberg HIT E 41.1
ORGANIZER:
SUMMARY:Stratifying On-Shell Cluster Varieties
URL:http://seminars.itp.phys.ethz.ch/view?series=qftstrings&period=17FS
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