Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2012-02-10
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, conference: XXIX Max Born Symposium: Super, Quantum & Twistors II
Scientific paper
A general construction of the Holst action is discussed. Based on this, the N = 1, 2, 4, 8 supergravities and N = 1 supergravities with matter coupling are presented. It is shown that in all this cases the Immirzi parameter dose not influence the field equations. The construction ensures that the theory is invariant under supersymmetry as well as gauge transformations, but the Holst extension breaks parity.
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