Newton-Cartan gravity and torsion

Eric Bergshoeff*, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

25 Citaten (Scopus)
105 Downloads (Pure)


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 Schrodinger field theory with dynamical exponent z = 2 for a complex compensating scalar and next coupling this field theory to a z = 2 Schrodinger geometry with arbitrary torsion. The latter theory can be obtained from either a gauging of the Schrodinger algebra, for arbitrary torsion, or from a null-reduction of conformal gravity.

Originele taal-2English
Aantal pagina's20
TijdschriftJournal of High Energy Physics
Nummer van het tijdschrift10
StatusPublished - 27-okt-2017

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