The Affine-Metric Quantum Gravity with Extra Local Symmetries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages in LATEX (The version of paper accepted for publication in Class. Quant. Grav.)

Scientific paper

10.1088/0264-9381/14/2/010

We discuss the role of additional local symmetries related to the transformations of connection fields in the affine-metric theory of gravity. The corresponding BRST transformations connected with all symmetries (general coordinate, local Lorentz and extra) are constructed. It is shown, that extra symmetries give the additional contribution to effective action which is proportional to the corresponding Nielsen-Kallosh ghost one. Some arguments are given, that there is no anomaly associated with extra local symmetries.

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