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Instanton representation of Plebanski gravity

This presentation explores the quantization of physical degrees of freedom in general relativity, emphasizing the construction of a Hilbert space of states for gravity with a clear semiclassical limit. It addresses the issues related to the Kodama state, employing an instanton representation of Plebanski’s starting action. A detailed discussion on the canonical structure and quantization process is provided, culminating in a proposed resolution for the Kodama state, aiming to enhance our understanding of the foundations of quantum gravity.

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Instanton representation of Plebanski gravity

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    1. Instanton representation of Plebanski gravity Hilbert space structure and proposed resolution of the Kodama state Eyo Eyo Ita III GR19 Conference, Mexico City 2010

    2. Motivation and Outline Motivation: Quantization of the physical D.O.F. for general relativity Construction of a Hilbert space of states for gravity with a well-defined semiclassical limit Addressal of the issues surrounding the Kodama state Plebanski starting action Instanton representation Canonical structure and quantization Hilbert space of states Proposed resolution of the Kodama state

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