Counterterms in Gravity in the Light-Front Formulation and a D=2 Conformal-like Symmetry in Gravity

TL;DR

This paper explores counterterms in light-front gravity, highlighting the role of reparametrization invariance in selecting physically consistent terms and discussing implications for N=8 Supergravity.

Contribution

It demonstrates the necessity of reparametrization invariance in identifying correct counterterms in light-front gravity, extending the analysis to supergravity.

Findings

Poincare invariance alone cannot determine three-point counterterms.

Higher-spin fields can mimic higher derivative gravity terms.

Reparametrization invariance is crucial for selecting the correct counterterms.

Abstract

In this paper we discuss gravity in the light-front formulation (light-cone gauge) and show how possible counterterms arise. We find that Poincare invariance is not enough to find the three-point counterterms uniquely. Higher-spin fields can intrude and mimic three-point higher derivative gravity terms. To select the correct term we have to use the remaining reparametrization invariance that exists after the gauge choice. We finally sketch how the corresponding programme for N=8 Supergravity should work.