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Speaker:
Roberta Iseppi
Zugehörigkeit:
Radboud Univ. Nijmegen/MPIM
Datum:
Die, 10/11/2015 - 14:00 - 15:00
Location:
MPIM Lecture Hall
Parent event:
Seminar on Algebra, Geometry and Physics In recent years noncommutative geometry has given proof of being an interesting setting for the analysis of gauge theories. The reason has to be searched in the fact that noncommutative manifolds naturally induce gauge theories. It is then reasonable to try to insert in this setting also procedures which have been developed for the analysis of gauge theories, such as the BV approach to the BRST quantization of non-abelian gauge theories.
In this talk we concetrate on a matrix model with a U(2)-gauge symmetry and we present a method to incorporate the BV construction in the framework of noncommutative geometry. This is done via the introduction of a BV-spectral triple.
The interesting aspect of this approach is that the ghost fields, which play a fundamental role in the BV construction, as well as all their physical properties can be interpreted in terms of the structure of the spectral triple.
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