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SUMMARY:Gauge Theories on Lie Algebroids
DTSTART;VALUE=DATE-TIME:20180315T100000Z
DTEND;VALUE=DATE-TIME:20180315T110000Z
DTSTAMP;VALUE=DATE-TIME:20180219T214136Z
UID:indico-event-17040@indico.in2p3.fr
DESCRIPTION:Gauge theories of fundamental interactions (except gravitation
) are usually written in the geometric framework of principal and associat
ed fibre bundles\, and gravitation is usually written in the framework of
riemannian geometry. We present a new way of writting such theories which
offers great possibilities : transitive Lie algebroids. In this geometrico
-algebraic framework\, the symmetry principle is still present in a certai
n form\, encompassing in a same object both infinitesimal gauge (internal)
transformations and diffeomorphisms of the base manifold. It is possible
to define a notion of connection (ordinary and generalized) which can enco
mpass in a natural way the Higgs field and its potential. It is also possi
ble to define a generalized metric on the Lie algebroid which gives a conn
ection (gauge field) and a metric on the base manifold (gravitation). We f
inally present a current work which allows to write Cartan geometries in t
he framework of Lie algebroids. We conclude presenting the possible genera
lizations to which this framework naturally leads us.\n\nhttps://indico.in
2p3.fr/event/17040/
LOCATION:Annecy-le-Vieux Auditorium
URL:https://indico.in2p3.fr/event/17040/
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