Instanton representation of Plebanski gravity

Eyo Eyo Ita

The Plebanski action implies the Einstein field equations when the equations of motion are satisfied, but in its original form is a second class constrained system. There is a new action which has been named the instanton representation of Plebanski gravity. This action follows by imposing the simplicity constraint and eliminating the spatial part of the two forms from the original Plebanski action.
In this talk we show how the instanton representation implies the Einstein field equations in the same sense as the starting Plebanski action, modulo the initial value constraints of GR. Additionally, we show that the instanton representation is a first class constrained system and provide a preliminary glimpse into its classical and quantum dynamics and its physical interpretation.