Husain-Kucha\v{r} model as the Carrollian limit of the Holst term

TL;DR

This paper demonstrates how the Husain-Kuchař model emerges as a Carrollian limit of the Holst term, revealing Carrollian symmetry aspects in its Hamiltonian formulation.

Contribution

It introduces a novel perspective by connecting the Husain-Kuchař model to Carrollian limits of the Holst term in background-independent theories.

Findings

Husain-Kuchař model as a Carrollian limit of the Holst term

Carrollian symmetry influences the Hamiltonian structure of the model

Provides insights into background-independent field theories

Abstract

We show how the Husain-Kucha\v{r} model can be understood as a Carrollian limit of the Holst term in the context of background-independent field theories described in terms of coframes and spin connections. We also discuss the footprint of the Carrollian symmetry in the Hamiltonian formulation of the Husain-Kucha\v{r} action.