Cosmological constant in spinfoam cosmology

TL;DR

This paper introduces a modification to the loop quantum gravity amplitude to incorporate the cosmological constant, resulting in a de Sitter cosmological solution within spinfoam cosmology.

Contribution

It proposes a simple modification to the spinfoam amplitude to include the cosmological constant, connecting to recent SL(2,C)q extensions.

Findings

The modified amplitude yields de Sitter solutions in spinfoam cosmology.

The approach links the cosmological constant to quantum group extensions.

Supports the relevance of quantum group structures in quantum gravity models.

Abstract

We consider a simple modification of the amplitude defining the dynamics of loop quantum gravity, corresponding to the introduction of the cosmological constant, and possibly related to the SL(2,C)q extension of the theory recently considered by Fairbairn-Meusburger and Han. We show that in the context of spinfoam cosmology, this modification yields the de Sitter cosmological solution.