Departamento de Gravitación y Teoría de CamposSeminarios 2010 |
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Instituto de Ciencias Nucleares, UNAM |
Jueves 14 de Abril, a las 17:00 hrs en el Salon Grande del ICN
Fernando Izaurieta (Universidad Catolica, Chile y Instituto de Matematica, UNAM)
Eleven Dimensional Supergravity and Chern-Simons Theory
In stark contrast with the interactions of the standard model, general relativity does not correspond to an off-shell invariant gauge theory (in the fiber bundle sense). Instead, it has been conjectured that supergravity in d = 11 could correspond to a gauge theory, but only if its 3-form field could be decomposed in such a way that the full lagrangian is rendered as off-shell invariant under some supergroup. In the present article, we will show that instead of being a gauge theory itself, eleven dimensional supergravity seems to correspond to a small sector of an on-shell invariant Chern-Simons gauge theory defined in d = 11. Deciding this issue has further consequences in the context of M The- ory. In fact, if supergravity does correspond to a particular case of Chern-Simons theory, this fact would point a Chern-Simons lagrangian as a new limit of M Theory. |