Reality conditions for (2+1)-dimensional gravity coupled with the Dirac field

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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13 pages, latex

Scientific paper

10.1088/0264-9381/14/4/008

The canonical formalism of three dimensional gravity coupled with the Dirac
field is considered. We introduce complex variables to simplify the Dirac
brackets of canonical variables and examine the canonical structure of the
theory. We discuss the reality conditions which guarantee the equivalence
between the complex and real theory.

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