{"arxiv_id":"1509.04527","title":"Newton-Cartan supergravity with torsion and Schr\\\"odinger supergravity","abstract":"We derive a torsionfull version of three-dimensional N=2 Newton-Cartan supergravity using a non-relativistic notion of the superconformal tensor calculus. The \"superconformal\" theory that we start with is Schr\\\"odinger supergravity which we obtain by gauging the Schr\\\"odinger superalgebra. We present two non-relativistic N=2 matter multiplets that can be used as compensators in the superconformal calculus. They lead to two different off-shell formulations which, in analogy with the relativistic case, we call \"old minimal\" and \"new minimal\" Newton-Cartan supergravity. We find similarities but also point out some differences with respect to the relativistic case.","primary_cat":"hep-th","cross_cats":["gr-qc"],"submitted_at":"2015-09-15T12:50:11+00:00","latest_version":2,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"MODERATE","one_line_summary":"A non-relativistic superconformal tensor calculus based on the Schrodinger superalgebra yields two off-shell torsionfull Newton-Cartan supergravity theories in three dimensions, one of which truncates to a known torsionless theory.","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0.0,"inbound_count":16,"_links":{"html":"https://pith.science/paper/1509.04527","verdict":"/api/v1/verdicts/1509.04527"}}