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Newton-Cartan gravity and torsion

Autor(en)
Eric Bergshoeff, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel
Abstrakt

We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result that one obtains from a null-reduction of General Relativity. Whereas the two procedures lead to the same result for Newton-Cartan geometry with arbitrary torsion, the null-reduction of the Einstein equations necessarily leads to Newton-Cartan gravity with zero torsion. We show, for three space-time dimensions, how Newton-Cartan gravity with arbitrary torsion can be obtained by starting from a Schrödinger field theory with dynamical exponent z = 2 for a complex compensating scalar and next coupling this field theory to a z = 2 Schrödinger geometry with arbitrary torsion. The latter theory can be obtained from either a gauging of the Schrödinger algebra, for arbitrary torsion, or from a null-reduction of conformal gravity.

Organisation(en)
Mathematische Physik
Externe Organisation(en)
University of Groningen, Rudjer Boskovic Institute
Journal
Journal of High Energy Physics
Band
2017
Anzahl der Seiten
20
ISSN
1029-8479
DOI
https://doi.org/10.1007/JHEP10(2017)194
Publikationsdatum
10-2017
Peer-reviewed
Ja
ÖFOS 2012
103012 Hochenergiephysik
Schlagwörter
ASJC Scopus Sachgebiete
Nuclear and High Energy Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/4aa15c98-2c81-47d0-8202-07307148d7f0