2017/08/31 by Yuho Sakatani, Shozo Uehara · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Effective field theory #Field (mathematics) #Field theory (psychology) #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Quantum field theory #Relationship between string theory and quantum field theory #hep-th
paper · pdf · doi:10.1093/ptep/ptx151
published as PTEP (2017) 113B01 · 41 pages; v2: typos corrected, clarifications added; v3: typos corrected, to appear in PTEP; v4: typos corrected in Eq.(3.65) and Table 1
openalex created_date 2017/08/31 · openalex publication_date 2017/10/19 · arxiv created 2018/01/08 · arxiv updated 2018/01/09 · openalex updated_date 2026/08/05
We present the universal form of |η|-symbols that can be applied to an arbitrary |Ed(d)| exceptional field theory (EFT) up to |d=7|. We then express the |Y|-tensor, which governs the gauge algebra of EFT, as a quadratic form of the |η|-symbols. The usual definition of the |Y|-tensor strongly depends on the dimension of the compactification torus while it is not the case for our |Y|-tensor. Furthermore, using the |η|-symbols, we propose a universal form of the linear section equation. In particular, in the |SL(5)| EFT, we explicitly show the equivalence to the known linear section equation.