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Speaker:
Birgit Kaufmann
Zugehörigkeit:
Purdue/MPIM
Datum:
Son, 20/03/2016 - 11:15 - 12:15
Location:
MPIM Lecture Hall We study a class of graph Hamiltonians given by groupoid representations to which we can
associate (non)-commutative geometries. By selecting gauging data, these geometries
are realized by matrices. We describe the changes in gauge via the action of a re-gauging
groupoid. It acts via a second set of matrices that give rise to a noncommutative 2-cocycle
and hence to a groupoid extension (gerbe). This is applicable to concrete cases, where we
find extended graph symmetries determined by the above construction. These give rise to
projective representations, iso-typical decompositions and super-selection rules, thus
realizing the higher structure inside materials.
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