A brief review of E theory

Abstract

I begin with some memories of Abdus Salam who was my PhD supervisor. After reviewing the theory of non-linear realisations and Kac-Moody algebras, I explain how to construct the non-linear realisation based on the Kac-Moody algebra E11 and its vector representation. I explain how this field theory leads to dynamical equations which contain an infinite number of fields defined on a space time with an infinite number of coordinates. I then show that these unique dynamical equations, when truncated to low level fields and the usual coordinates of space time, lead to precisely the equations of motion of eleven dimensional supergravity theory. By taking different group decompositions of E11 we find all the maximal supergravity theories, including the gauged maximal supergravities, and as a result the non-linear realisation should be thought of as a unified theory that is the low energy effective action for type II strings and branes. These results essentially confirm the E11 conjecture given many years ago.

To appear in the Proceedings of Abdus Salam's 90th Birthday meeting, 25-28 January 2016, NTU, Singapore, Editors L. Brink, M. Duff and K. Phua, World Scientific Publishing

References in corpus (11)

• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• Frame-like Geometry of Double Field Theory
• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• E11, generalised space-time and IIA string theory
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• E11, generalised space-time and IIA string theory; the R-R sector
• E_{11} and Higher Spin Theories
• Duality Symmetries and G^{+++} Theories
• Generalised vielbeins and non-linear realisations
• E11 and Supersymmetry

Cited by in corpus (7)

• E11, Romans theory and higher level duality relations
• The non-linear dual gravity equation of motion in eleven dimensions
• Gravity, Dual Gravity and A1+++
• D = 3 Unification of Curious Supergravities
• $\mathcal{S}$-Matrix of Nonlocal Scalar Quantum Field Theory in the Representation of Basis Functions
• Kac-Moody algebras and the cosmological constant
• Current Algebra Formulation of Quantum Gravity and Its Application to Cosmology