Holst Actions for Supergravity Theories

Details Holst Actions for Supergravity Theories Holst Actions for Supergravity Theories

2007-11-29

arxiv.org/abs/0711.4674v1

Phys.Rev.D77:045030,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1103/PhysRevD.77.045030

Holst action containing Immirzi parameter for pure gravity is generalised to the supergravity theories. Supergravity equations of motion are not modified by such generalisations, thus preserving supersymmetry. Dependence on the Immirzi parameter does not emerge in the classical equations of motion. This is in contrast with the recent observation of Perez and Rovelli for gravity action containing original Holst term and a minimally coupled Dirac fermion where the classical equations of motion do develop a dependence on Immirzi parameter.

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