Speaker
Liza Huijse
(University of Amsterdam)
Description
P. Fendley, K. Schoutens and J. de Boer introduced a class
of models that, as a result of a judicious tuning of kinetic
and potential terms, possess supersymmetry. In 1D this
model is solved analytically and turns out to be quantum
critical. The thermodynamic limit is described by an N=2
superconformal field theory. In 2D we typically find that the
number of ground states grows exponentially with the area
of the system. We call such systems superfrustrated. For
certain 2D lattices, such as the square and octagon-square
lattices, the growth is exponential in the linear size of the
system. For the square lattice we present a remarkable
relation between ground states and tilings. We will explain
why we tentatively call the latter class of systems
'supertopological'.
