Half-maximal extended Drinfel’d algebras

Abstract The extended Drinfel’d algebra (ExDA) is the underlying symmetry of non-Abelian duality in the low-energy effective theory of string theory. Non-Abelian U-dualities in maximal supergravities have been studied well, but there has been no study on non-Abelian dualities in half-maximal supergr...

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Published inProgress of theoretical and experimental physics Vol. 2022; no. 1
Main Author Sakatani, Yuho
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.01.2022
Subjects
Algebra
B20
B11
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ISSN2050-3911
2050-3911
DOI10.1093/ptep/ptab166

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Summary:Abstract The extended Drinfel’d algebra (ExDA) is the underlying symmetry of non-Abelian duality in the low-energy effective theory of string theory. Non-Abelian U-dualities in maximal supergravities have been studied well, but there has been no study on non-Abelian dualities in half-maximal supergravities. We construct the ExDA for half-maximal supergravities in d ≥ 4. We also find an extension of the homogeneous classical Yang–Baxter equation in these theories.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptab166