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