Closure of the algebra of constraints for a nonprojectable Ho\v{r}ava model

TL;DR

This paper performs a Hamiltonian analysis of a nonprojectable Horava model with R and R^2 terms, demonstrating the closure of the constraint algebra and discussing the model's scalar mode and consistency.

Contribution

It provides a detailed Hamiltonian analysis showing the constraint algebra closes for this specific Horava model, supporting its internal consistency.

Findings

Constraint algebra is consistent and closed.

The model has an extra scalar mode that decouples in linear perturbations.

Results support the model's internal consistency but do not confirm full theory validity.

Abstract

We perform the Hamiltonian analysis for a nonprojectable Horava model whose potential is composed of R and R^2 terms. We show that Dirac's algorithm for the preservation of the constraints can be done in a closed way, hence the algebra of constraints for this model is consistent. The model has an extra, odd, scalar mode whose decoupling limit can be seen in a linear-order perturbative analysis on weakly varying backgrounds. Although our results for this model point in favor of the consistency of the Ho\v{r}ava theory, the validity of the full nonprojectable theory still remains unanswered.