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Generalised diffeomorphisms for E9
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- Bossard, Guillaume (author)
- Université Paris-Saclay,University Paris-Saclay,Centre de Physique Théorique, Ecole Polytechnique, CNRS Université Paris-Saclay FR-91128 Palaiseau cedex, France
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- Cederwall, Martin, 1961 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Division for Theoretical Physics, Department of Physics, Chalmers University of Technology, Gothenburg, Sweden
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- Kleinschmidt, Axel (author)
- International Solvay Institute for Physics and Chemistry,Max Planck Gesellschaft zur Förderung der Wissenschaften e.V. (MPG),Max Planck Society for the Advancement of Science (MPG),Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) Am Mühlenberg, Potsdam, Germany; International Solvay Institutes, Brussels, Belgium
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- American Physical Society, 2017
- 2017
- English.
- In: Physical Review D - Particles, Fields, Gravitation and Cosmology. - : American Physical Society. - 2470-0010 .- 2470-0029. ; 96, s. 106022-
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- We construct generalised diffeomorphisms for E9 exceptional field theory. The trans- formations, which like in the E8 case contain constrained local transformations, close when acting on fields. This is the first example of a generalised diffeomorphism alge- bra based on an infinite-dimensional Lie algebra and an infinite-dimensional coordi- nate module. As a byproduct, we give a simple generic expression for the invariant tensors used in any extended geometry. We perform a generalised Scherk–Schwarz reduction and verify that our transformations reproduce the structure of gauged supergravity in two dimensions. The results are valid also for other affine algebras.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
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