Half-maximal Extended Drinfel'd Algebras
Yuho Sakatani

TL;DR
This paper constructs the extended Drinfel'd algebra for half-maximal supergravities in dimensions four and higher, revealing new algebraic structures and extending the classical Yang-Baxter equation within this context.
Contribution
It introduces the ExDA for half-maximal supergravities and extends the classical Yang-Baxter equation to these theories, filling a gap in non-Abelian duality studies.
Findings
Construction of ExDA for half-maximal supergravities in $d extgreater=4$
Extension of the classical Yang-Baxter equation in these theories
Foundation for exploring non-Abelian dualities in half-maximal supergravities
Abstract
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. In this paper, we construct the ExDA for half-maximal supergravities in . We also find an extension of the homogeneous classical Yang-Baxter equation in these theories.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models
