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What is Real and Complex Connections in Gravity about?

This document discusses real and complex connections that have been used in canonical gravity. It shows that there is an arbitrary parameter β that enters the definition of the real SU(2) connection, the Poisson brackets, and the scale of discrete spectra found in the quantum theory for areas and volumes. The value of β could potentially be fixed by the Hamiltonian constraint or by rotating to the complex Ashtekar connection with gauge group SL(2,C). Taking β=i recovers the Ashtekar variables and simplifies

Author

Patrick Wong

Language

EN