Half-maximal Extended Drinfel'd Algebras

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 $d\geq 4$. We also find an extension of the homogeneous classical Yang-Baxter equation in these theories.