Half-maximal Extended Drinfel'd Algebras

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

47 pages, a Mathematica notebook attached

References in corpus (7)

• Double Field Theory
• Exceptional Field Theory III: E${}_{8(8)}$
• Duality orbits of non-geometric fluxes
• Supergravities without an Action: Gauging the Trombone
• Half-maximal supersymmetry from exceptional field theory
• How to halve maximal supergravity
• Extended Drinfel'd algebras and non-Abelian duality