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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 4, 2015 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
 


Exceptionl Field Theory

E. Musaev

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Abstract: U-duality appears as a group of hidden symmetries in toroidal reduction of 11-dimensional supergravity. While the p-form fields transform as linear representations under the duality transformations, the scalar fields live in a coset and transform non-linearly.
The Exceptional Field Theory is based on the structures of Extended Geometry defined on the so-called extended space. This framework considers U-duality transformations as a local gauge symmetry of the extended space.
In this talk we will see, that both 11-dimensional supergravity and Type IIb supergravity can be obtained by choosing a solution of the section condition, a constraint that projects the extended space to the conventional space-time.

Language: English

References
  1. Olaf Hohm, Henning Samtleben, “Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB”, Phys. Rev. D, 89 (2014), 066016, arXiv: 1312.0614  crossref  isi  scopus
  2. David S. Berman, Felix J. Rudolph, Strings, Branes and the Self-dual Solutions of Exceptional Field Theory, arXiv: 1412.2768
  3. Edvard Musaev, Henning Samtleben, Fermions and Supersymmetry in $E_{6(6)}$ Exceptional Field Theory, arXiv: 1412.7286


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