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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)
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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
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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
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David S. Berman, Felix J. Rudolph, Strings, Branes and the Self-dual Solutions of Exceptional Field Theory, arXiv: 1412.2768
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Edvard Musaev, Henning Samtleben, Fermions and Supersymmetry in $E_{6(6)}$ Exceptional Field Theory, arXiv: 1412.7286
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