2015/07/31 by Alexander G. Tumanov, Peter West
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Black Holes and Theoretical Physics #Epistemology #Field (mathematics) #Geometry #Homogeneous space #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Product (mathematics) #Pure mathematics #Quantum mechanics #Realisation #Simple (philosophy) #Theoretical physics #Truncation (statistics) #hep-th
paper · pdf · doi:10.1142/s0217751x16500664
39 pages
arxiv created 2015/07/31 · openalex publication_date 2016/04/28 · arxiv updated 2016/05/25 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We argue that the exceptional field theory is a truncation of the nonlinear realisation of the semi-direct product of [Formula: see text] and its first fundamental as proposed in 2003. Evaluating the simple equations of the [Formula: see text] approach, and using the commutators of the [Formula: see text] algebra, we find the local variations of the fields of exceptional field theory after making a radical truncation. This procedure does not respect any of the higher level [Formula: see text] symmetries and so these are lost. We suggest that the need for the section condition in the exceptional field theory could be a consequence of the truncation.