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순수물리이론 연구단
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eta-symbols in exceptional field theory

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Title
eta-symbols in exceptional field theory
Author(s)
Yuho Sakatani; Shozo Uehara
Publication Date
2017-11
Journal
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, v., no.11, pp.113B01 -
Publisher
OXFORD UNIV PRESS INC
Abstract
We present the universal form of eta-symbols that can be applied to an arbitrary E-d(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 eta-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 eta-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. © The Author(s) 2017. Published by Oxford University Press on behalf of the Physical Society of Japan.
URI
http://pr.ibs.re.kr/handle/8788114/4774
ISSN
2050-3911
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
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