# η -symbols in exceptional field theory

Sakatani, Yuho (Department of Physics, Kyoto Prefectural University of Medicine, Kyoto 606-0823, Japa) (Fields, Gravity & Strings, CTPU, Institute for Basic Sciences, Seoul 08826, Korea) ; Uehara, Shozo (Department of Physics, Kyoto Prefectural University of Medicine, Kyoto 606-0823, Japa)

30 November 2017

Abstract: We present the universal form of -symbols that can be applied to an arbitrary exceptional field theory (EFT) up to . We then express the -tensor, which governs the gauge algebra of EFT, as a quadratic form of the -symbols. The usual definition of the -tensor strongly depends on the dimension of the compactification torus while it is not the case for our -tensor. Furthermore, using the -symbols, we propose a universal form of the linear section equation. In particular, in the EFT, we explicitly show the equivalence to the known linear section equation.

Published in: PTEP 2017 (2017) 113B01