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2011

Loop gravity in terms of spinors

Livine, Etera R., Tambornino, Johannes

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We show that loop gravity can equally well be formulated in in terms of spinorial variables (instead of the group variables which are commonly used), which have recently been shown to provide a direct link between spin network states and discrete geometries.

This results in a new, unitarily equivalent formulation of the theory on a generalized Bargmann space.
Since integrals over the group are exchanged for straightforward integrals over the complex plane we expect this formalism to be useful to efficiently organize practical calculations.

Loop gravity in terms of spinors · Around

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Bargmann V 1962 Rev. Mod. Phys
1962
Earlier work this paper cites.
Rovelli C and Speziale S 2010 Phys. Rev
2010
Earlier work this paper cites.
Freidel L and Speziale S 2010 Phys. Rev
2010
Earlier work this paper cites.
Freidel L and Speziale S 2010 Phys. Rev
2010
Earlier work this paper cites.
Freidel L and Livine E R 2010 J. Math. Phys
2010
Earlier work this paper cites.
Borja E F, Diaz-Polo J, Garay I and Livine E R 2010 Class. Quant. Grav
2010
Earlier work this paper cites.

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http://loops11.iem.csic.es/loops11/index.php?option=com_cont%ent&view=article&id=163
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Then

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