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Yvan Saint-Aubin - Boundary states for a free boson defined on finite geometries
YVAN SAINT-AUBIN, Département de mathématiques et de statistique, Université de Montréal, Montréal, Québec H3C 3H7 |
Boundary states for a free boson defined on finite geometries |
Langlands recently constructed the map
that factorizes the partition function of a free
boson on a cylinder with boundary condition given by two arbitrary
functions
and
in the form
. We
rewrite
in a compact form, getting rid of
technical assumptions necessary in his construction. This simpler form
allows us to explore the properties of the map
under conformal transformation that preserve the
boundary. (Joint work with Marc-André Lewis.)