Unifying R-symmetry in M-theory

Abstract

In this contribution we address the following question: Is there a group with a fermionic presentation which unifies all the physical gravitini and dilatini of the maximal supergravity theories in D=10 and D=11 (without introducing new degrees of freedom)? The affirmative answer relies on a new mathematical object derived from the theory of Kac--Moody algebras, notably E10. It can also be shown that in this way not only the spectrum but also dynamical aspects of all supergravity theories can be treated uniformly.

17 pages. Proceedings of ICMP 2006

References in corpus (16)

• Dualisation of Dualities, I
• $E_{11}$, SL(32) and Central Charges
• Very-extended Kac-Moody algebras and their interpretation at low levels
• Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity
• G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS Solutions
• IIB Supergravity Revisited
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Extended E8 Invariance of 11-Dimensional Supergravity
• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• G+++ Invariant Formulation of Gravity and M-Theories: Exact Intersecting Brane Solutions
• IIB supergravity and E10
• Enhanced Coset Symmetries and Higher Derivative Corrections
• Curvature corrections and Kac-Moody compatibility conditions
• IIA and IIB spinors from K(E10)
• The topology of U-duality (sub-)groups
• Pure type I supergravity and DE(10)