Van Suijlekom's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT


Speaker: Walter D. van Suijlekom (Radboud universiteit Nijmegen)

Title: Localizing gauge theories from noncommutative geometry

Abstract: We recall the emergence of a generalized gauge theory from a 
noncommutative Riemannian spin manifold, viz. a real spectral triple 
(A,H,D;J). This includes a gauge group determined by the unitaries in 
the *-algebra A and gauge fields arising as perturbations to D which are 
'inner' with respect to A. Our main new result is the interpretation of 
this generalized gauge theory in terms of an upper semi-continuous 
C*-bundle on a (Hausdorff) base space X. The gauge group acts by 
vertical automorphisms on this C*-bundle and can (under some mild 
conditions) be identified with the space of continuous sections of a 
group bundle on X.
We exemplify our construction by Yang-Mills theory and toric 
noncommutative manifolds and show that they actually give rise to 
continuous C*-bundles. Moreover, in these examples the corresponding 
inner automorphism groups can be realized as spaces of sections of group 
bundles that we explicitly determine.

Friday, January 30th. 11:00 am. SISSA room 136.