Polyvector deformations of Type IIB backgrounds

TL;DR

This paper introduces a formalism for poly-vector deformations of Type IIB supergravity backgrounds, utilizing exceptional field theory to derive explicit transformation rules and establish conditions for generating new solutions.

Contribution

It develops a new formalism for poly-vector deformations in Type IIB backgrounds using exceptional field theory, providing explicit transformation rules and solution-generating conditions.

Findings

Derived explicit transformation rules for four-vector deformations.

Proved algebraic conditions are sufficient for solution generation.

Established a formalism applicable to backgrounds with specific metric and RR fields.

Abstract

We develop a formalism of poly-vector deformations for Type IIB backgrounds with a block diagonal metric and non-vanishing self-dual 5-form RR field strength. Making use of the embedding of the Type IIB theory into the $\mathrm{E}_{6(6)}$ exceptional field theory we derive explicit transformation rules for four-vector deformations. We prove that the algebraic condition following from the Type IIB realization of exceptional Drinfeld algebras is sufficient for the transformation to generate a solution.