Diagrammar and metamorphosis of coset symmetries in dimensionally reduced type IIB supergravity

TL;DR

This paper explores how the Dynkin diagram of type IIB supergravity transforms during dimensional reduction, revealing new symmetries and aiding in the understanding of T-duality and vacua solutions.

Contribution

It introduces a diagrammatic metamorphosis from gravity line 'caterpillar' to 'dragonfly', linking supergravity reduction to E8 symmetry within the E11 conjecture.

Findings

Dynkin diagram transforms during reduction

Identification of E8 as a subgroup of E11

Applications to T-duality and vacua search

Abstract

Studying the reduction of type IIB supergravity from ten to three space-time dimensions we describe the metamorphosis of Dynkin diagram for gravity line "caterpillar" into a type IIB supergravity "dragonfly" that is triggered by inclusion of scalars and antisymmetric tensor fields. The final diagram corresponds to type IIB string theory E8 global symmetry group which is the subgroup of the conjectured E11 hidden symmetry group. Application of the results for getting the type IIA/IIB T-duality rules and for searching for type IIB vacua solutions is considered.