Abstract
We obtain a closed form expression for the Action describing pure gravity, in light-cone gauge, in a four-dimensional Anti-de Sitter background. We perform a perturbative expansion of this closed form result to extract the cubic interaction vertex in this gauge.
Highlights
Quantum field theories of gravity are plagued by divergences that seem to rule out any straightforward attempt to unite quantum theory and the general theory of relativity
The KLT relations are valid on flat spacetime backgrounds so one question that motivates the present work is whether such perturbative ties between YangMills and gravity survive when we move to curved spacetime backgrounds
We describe how pure gravity is formulated in light-cone gauge on an AdS4 background
Summary
Quantum field theories of gravity are plagued by divergences that seem to rule out any straightforward attempt to unite quantum theory and the general theory of relativity. The KLT relations are valid on flat spacetime backgrounds so one question that motivates the present work is whether such perturbative ties between YangMills and gravity survive when we move to curved spacetime backgrounds It is not clear how a Yang-Mills ↔ gravity relationship, on AdS4 , would trace back to a stringy origin. To achieve a light-cone formulation of higher spin fields (λ > 2) on curved backgrounds, it is essential to have as a guidepost the Action for pure gravity (λ = 2) on those backgrounds. This is one of the results we obtain here. We perform a perturbative expansion of this gauge-fixed Action to first order in the gravitational coupling constant and comment on the resulting interaction vertex
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