{"paper":{"title":"Unitarity and Universality in non relativistic Conformal Field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","hep-ph"],"primary_cat":"hep-th","authors_text":"Sridip Pal","submitted_at":"2018-02-06T23:26:43Z","abstract_excerpt":"We relate the notion of unitarity of a $SL(2,\\mathbf{R})$ invariant field theory with that of a Schrodinger field theory using the fact that $SL(2,\\mathbf{R})$ is a subgroup of Schrodinger group. Exploiting $SL(2,\\mathbf{R})$ unitarity, we derive the unitarity bounds and null conditions for a Schr\\\"odinger field theory (for the neutral as well as the charged sector). In non integer dimensions the theory is shown to be non-unitary. Furthermore, the use of $SL(2,\\mathbf{R})$ subgroup opens up the possibility of borrowing results from 1D $SL(2,\\mathbf{R})$ invariant field theory to explore Schrod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02262","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}