Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories

Abstract

A description of the bosonic sector of ten-dimensional N=1 supergravity as a non-linear realisation is given. We show that if a suitable extension of this theory were invariant under a Kac-Moody algebra, then this algebra would have to contain a rank eleven Kac-Moody algebra, that can be identified to be a particular real form of very-extended D_8. We also describe the extension of N=1 supergravity coupled to an abelian vector gauge field as a non-linear realisation, and find the Kac-Moody algebra governing the symmetries of this theory to be very-extended B_8. Finally, we discuss the related points for the N=1 supergravity coupled to an arbitrary number of abelian vector gauge fields.

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• Heterotic wrapping rules
• Double Field Theory at SL(2) angles
• IIA and IIB spinors from K(E10)
• K(E9) from K(E10)
• Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
• Hyperbolic Weyl groups and the four normed division algebras
• G+++ and Brane Solutions
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• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Pure type I supergravity and DE(10)
• Kac-Moody Algebras in M-theory
• Towards a classification of branes in theories with eight supercharges
• Killing Spinor Equations from Nonlinear Realisations
• Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
• Non-Supersymmetric Magic Theories and Ehlers Truncations
• Standard and Non-standard Extensions of Lie algebras
• Connections between Kac-Moody algebras and M-theory
• The very-extended trombone