Kac-Moody algebras and the cosmological constant

TL;DR

This paper demonstrates that a gravity theory based on a specific Kac-Moody algebra framework inherently forbids a cosmological constant, linking its absence to preserved duality symmetry.

Contribution

It introduces a gravity model derived from the non-linear realisation of a Kac-Moody algebra that inherently excludes a cosmological constant.

Findings

The theory does not permit a cosmological constant.

The existence of a cosmological constant is tied to duality symmetry breaking.

Provides a new algebraic perspective on cosmological constant problem.

Abstract

We show that the theory of gravity constructed from the non-linear realisation of the semi-direct product of the Kac-Moody algebra A1+++ with its vector representation does not allow a cosmological constant. The existence of a cosmological constant in this theory is related to the breaking of the gravitational duality symmetry.