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

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.

26 pages, references added, published version

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Cited by in corpus (10)

• Asymptotic Symmetries of Yang-Mills Theory
• Higher-Spin Algebras, Holography and Flat Space
• A Riccati type PDE for light-front higher helicity vertices
• Yang-Mills theories and quadratic forms
• BMS algebra from residual gauge invariance in light-cone gravity
• Exceptional versus superPoincaré algebra as the defining symmetry of maximal supergravity
• E${}_8$ in $\mathcal{N}=8$ supergravity in four dimensions
• Gravitation and quadratic forms
• Deriving interaction vertices in higher derivative theories
• Exceptional symmetries in light-cone superspace