{"corpus_id":229152601,"paper_sha":"12c5d4d21f677bc50829185bd9b749fe04fdd67d","doi":"10.1007/JHEP06(2021)173","arxiv_id":"2012.07765","pmid":null,"pmcid":null,"mag_id":3112107558,"dblp_id":null,"acl_id":null,"title":"Non-Riemannian gravity actions from double field theory","year":2020,"publication_date":"2020-12-14","venue":"Journal of High Energy Physics","journal":{"name":"Journal of High Energy Physics","pages":null,"volume":"2021"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics"],"reference_count":94,"citation_count":33,"influential_citation_count":1,"is_open_access":true,"arxiv_categories":["hep-th","gr-qc"],"arxiv_license":"http://creativecommons.org/licenses/by/4.0/","arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP06(2021)173.pdf","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/12c5d4d21f677bc50829185bd9b749fe04fdd67d","s2_open_access_license":"CCBY","s2_open_access_status":"GOLD","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with non-relativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.","claims":[{"public_id":"cl_ef30c609f26f0f6223ee70497c5ed9d7","status":"active","text":"Double field theory can be used to construct action principles for a variety of non-Riemannian gravitational theories.","confidence":0.97,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_ef30c609f26f0f6223ee70497c5ed9d7"},{"public_id":"cl_9b73eb7162c66eded508dd8901343278","status":"active","text":"The derived actions are compared with previously obtained results in the literature.","confidence":0.83,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_9b73eb7162c66eded508dd8901343278"},{"public_id":"cl_4be49898066c381c8d82a22283b7c3e0","status":"active","text":"The double field theory formulation removes ambiguities in the corresponding equations of motion.","confidence":0.91,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_4be49898066c381c8d82a22283b7c3e0"},{"public_id":"cl_26a77f4b68974b4189797a67f7ead956","status":"active","text":"Torsional Newton-Cartan gravity, Carrollian gravity, and String Newton-Cartan gravity are embedded in double field theory and their actions are derived.","confidence":0.96,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_26a77f4b68974b4189797a67f7ead956"}],"concepts":[{"public_id":"co_1980cace9896ff0f7a241013d7810081","status":"active","name":"String Newton-Cartan gravity","description":"A non-relativistic gravity theory arising in string-theoretic Newton-Cartan geometry.","types":["theoretical framework"],"aliases":["SNC gravity"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_1980cace9896ff0f7a241013d7810081"},{"public_id":"co_630f63a17c09296763b84615fdec4e5b","status":"active","name":"action principles","description":"Variational formulations from which equations of motion are derived.","types":["method"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_630f63a17c09296763b84615fdec4e5b"},{"public_id":"co_94fe11012d390d800e26a72bbc4c6d3c","status":"active","name":"non-Riemannian gravitational theories","description":"Gravitational theories formulated outside the usual Riemannian geometric setting.","types":["theoretical framework"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_94fe11012d390d800e26a72bbc4c6d3c"},{"public_id":"co_97eb29abcc129249af2be5cf553ba649","status":"active","name":"double field theory","description":"A field-theoretic framework that doubles coordinates to make T-duality manifest.","types":["theoretical framework"],"aliases":["DFT"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_97eb29abcc129249af2be5cf553ba649"},{"public_id":"co_993cea86dc59e142f73627aa91a3e527","status":"active","name":"equations of motion","description":"Dynamical equations governing the evolution of the gravitational fields.","types":["theoretical concept"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_993cea86dc59e142f73627aa91a3e527"},{"public_id":"co_9c19d038ea6c3b3e82c5ae26162f87f1","status":"active","name":"previously obtained results in literature","description":"Earlier published results used as the comparison point for the derived actions.","types":["comparison set"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_9c19d038ea6c3b3e82c5ae26162f87f1"},{"public_id":"co_acf3cf072bd3a727a2c5820661cd50d5","status":"active","name":"ambiguities","description":"Underdetermined or non-unique aspects in the formulation of the equations of motion.","types":["issue"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_acf3cf072bd3a727a2c5820661cd50d5"},{"public_id":"co_d62e07b2781af74b4da2d02462182fcb","status":"active","name":"Carrollian gravity","description":"A gravitational theory associated with Carrollian, ultra-relativistic symmetry limits.","types":["theoretical framework"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_d62e07b2781af74b4da2d02462182fcb"},{"public_id":"co_d8b683f9235a50cbd02dfafe195382ef","status":"active","name":"Torsional Newton-Cartan gravity","description":"A non-relativistic gravitational theory that extends Newton-Cartan geometry with torsion.","types":["theoretical framework"],"aliases":["TNC gravity"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_d8b683f9235a50cbd02dfafe195382ef"},{"public_id":"co_e6d6bdc5f8bab948c6c05fbe0b0a6d1c","status":"active","name":"derived actions","description":"The action functionals obtained for the non-Riemannian gravitational theories discussed in the note.","types":["result"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_e6d6bdc5f8bab948c6c05fbe0b0a6d1c"}],"external_ids":{"DOI":"10.1007/JHEP06(2021)173","ArXiv":"2012.07765","PubMed":null,"PubMedCentral":null,"MAG":3112107558,"DBLP":null,"ACL":null},"open_access":{"is_open_access":true,"pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP06(2021)173.pdf","landing_url":"https://www.semanticscholar.org/paper/12c5d4d21f677bc50829185bd9b749fe04fdd67d","source":"semantic_scholar","pdf_url_source":"semantic_scholar_open_access_pdf","license":"CCBY","status":"GOLD","reason":null},"reference_availability":{"status":"available","references_indexed":true,"full_text_available":true,"full_text_source":"arxiv","count_basis":"semantic_scholar_metadata","extraction_status":"not_applicable","reason":null},"source":{"provider":"episteme2","base_corpus":"semantic_scholar_dump","freshness_mode":"unknown","basis":["semantic_scholar_metadata","postgres_metadata"],"limits":["paper metadata is based on indexed upstream scholarly datasets","claims and concepts are available only for extracted papers","absence of claims or concepts means no extracted graph data is available in this response"],"status":"available","degraded":false,"degraded_reasons":[],"diagnostics":{"status":"available","degraded":false,"degraded_reasons":[],"metadata_status":"available","graph_status":"available","abstract_status":"available"},"source_flags":1},"paper_id":636345,"paper_uid":"3bbf765c-6927-44ae-9e1e-9931acdef37e","canonical_identity":{"paper_id":636345,"paper_uid":"3bbf765c-6927-44ae-9e1e-9931acdef37e","identity_status":"available","lookup_basis":"semantic_scholar_external_id","compatibility_path":"corpus_id"},"url":"https://sah.borca.ai/papers/229152601"}