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

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.

9 pp, 7 figs, LATEX; to be published in JETP Lett

References in corpus (11)

• E_11 and M Theory
• Consistent Kaluza-Klein Sphere Reductions
• Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
• Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity
• Kac-Moody Symmetries of IIB Supergravity
• The Symmetry of M-Theories
• A class of Lorentzian Kac-Moody algebras
• An exceptional geometry for d=11 supergravity?
• The group theory of oxidation
• Consistent Group and Coset Reductions of the Bosonic String
• Coset Symmetries in Dimensionally Reduced Bosonic String Theory