Noncommutative Geometry and Quantum Physics
Vietri sul Mare, August 31 - September 5, 2009
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| Speaker: |
Fabio Ciolli, Rome |
| Title: |
Net Cohomology and the construction of Physical Models |
| Abstract: |
As an application of Roberts' net cohomology, various
examples of DHR superselection theory of physical models will be discussed.
Specifically, the scalar free field in 1+1 dimensions, an infinitely many
sectors (i.e. irrational) model whose algebras of fields is non-separably
represented, and the finitely many sectors (i.e. rational) models on the
chiral circle, with target space a lattice. In both cases, the tools of
twisted crossed product of Weyl algebras and of graded nets are used.
Possible generalizations to electromagnetic charges and the emerging
of an abstract superselection theory will also be presented.
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ruppo di |
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icerca |
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uropeo |
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ranco- |
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taliano in |
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ometria |
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mmutativa |
| roupement de |
echerche |
uropéen |
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talien en |
ométrie |
on |
mmutative |
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