We construct a d = 11 supergravity analogue of the open-closed string map in the context of SL(5) Exceptional Field Theory (ExFT). The deformation parameter tri-vector Ω generalizes the non-commutativity bi-vector parameter Θ of the open string. When applied to solutions in d = 11, this map provides an economical way of performing TsT deformations, and may be used to recover d = 10 Yang-Baxter deformations after dimensional reduction. We present a generalization of the Classical Yang-Baxter Equation (CYBE) for rank 3 objects, which emerges from d = 11 supergravity and the SL(5) ExFT. This equation is shown to reduce to the d = 10 CYBE upon dimensional reduction.
{ "_oai": { "updated": "2019-11-23T22:21:10Z", "id": "oai:repo.scoap3.org:49470", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "South Korea", "value": "Asia Pacific Center for Theoretical Physics, Postech, Pohang, 37673, Korea", "organization": "Asia Pacific Center for Theoretical Physics" }, { "country": "Russia", "value": "Kazan Federal University, Institute of Physics, Kremlevskaya 16a, Kazan, 420111, Russia", "organization": "Kazan Federal University, Institute of Physics" } ], "surname": "Bakhmatov", "email": "ilya.bakhmatov@apctp.org", "full_name": "Bakhmatov, Ilya", "given_names": "Ilya" }, { "affiliations": [ { "country": "Turkey", "value": "Department of Mathematics, Bo\u011fazi\u00e7i University, Bebek, Istanbul, 34342, Turkey", "organization": "Bo\u011fazi\u00e7i University" } ], "surname": "Deger", "email": "sadik.deger@boun.edu.tr", "full_name": "Deger, Nihat", "given_names": "Nihat" }, { "affiliations": [ { "country": "Russia", "value": "Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, 141700, Russia", "organization": "Moscow Institute of Physics and Technology" }, { "country": "Russia", "value": "Kazan Federal University, Institute of Physics, Kremlevskaya 16a, Kazan, 420111, Russia", "organization": "Kazan Federal University, Institute of Physics" } ], "surname": "Musaev", "email": "musaev.et@phystech.edu", "full_name": "Musaev, Edvard", "given_names": "Edvard" }, { "affiliations": [ { "country": "South Korea", "value": "Asia Pacific Center for Theoretical Physics, Postech, Pohang, 37673, Korea", "organization": "Asia Pacific Center for Theoretical Physics" }, { "country": "South Korea", "value": "Department of Physics, Postech, Pohang, 37673, Korea", "organization": "Department of Physics, Postech" } ], "surname": "Colg\u00e1in", "email": "ocolgain.eoin@apctp.org", "full_name": "Colg\u00e1in, Eoin", "given_names": "Eoin" }, { "affiliations": [ { "country": "Iran", "value": "School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran", "organization": "School of Physics, Institute for Research in Fundamental Sciences (IPM)" }, { "country": "Italy", "value": "The Abdus Salam ICTP, Strada Costiera 11, Trieste, 34151, Italy", "organization": "The Abdus Salam ICTP" } ], "surname": "Sheikh-Jabbari", "email": "jabbari@theory.ipm.ac.ir", "full_name": "Sheikh-Jabbari, Mohammad", "given_names": "Mohammad" } ], "titles": [ { "source": "Springer", "title": "Tri-vector deformations in d = 11 supergravity" } ], "dois": [ { "value": "10.1007/JHEP08(2019)126" } ], "publication_info": [ { "page_end": "24", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2019", "artid": "JHEP08(2019)126", "year": 2019, "page_start": "1", "journal_issue": "8" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2019-11-23T22:31:24.199143", "source": "Springer", "method": "Springer", "submission_number": "67476a000e3811ea81ff02163e01809a" }, "page_nr": [ 24 ], "license": [ { "url": "https://creativecommons.org/licenses/by/3.0", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2019" } ], "control_number": "49470", "record_creation_date": "2019-08-30T14:30:23.189090", "_files": [ { "checksum": "md5:1f2f81803a9a9c097e4c28dc6485b223", "filetype": "xml", "bucket": "e8171090-2da2-4c51-bb8a-9bd6b03d577b", "version_id": "b9e43045-028d-4384-b553-0efa748e69d1", "key": "10.1007/JHEP08(2019)126.xml", "size": 14836 }, { "checksum": "md5:523022bad5a9123153ce7d3c4536a86f", "filetype": "pdf/a", "bucket": "e8171090-2da2-4c51-bb8a-9bd6b03d577b", "version_id": "bd5b1191-bfdb-485a-a2b5-cb594a426c80", "key": "10.1007/JHEP08(2019)126_a.pdf", "size": 454532 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "math-ph", "math.MP" ], "value": "1906.09052" } ], "abstracts": [ { "source": "Springer", "value": "We construct a d = 11 supergravity analogue of the open-closed string map in the context of SL(5) Exceptional Field Theory (ExFT). The deformation parameter tri-vector \u03a9 generalizes the non-commutativity bi-vector parameter \u0398 of the open string. When applied to solutions in d = 11, this map provides an economical way of performing TsT deformations, and may be used to recover d = 10 Yang-Baxter deformations after dimensional reduction. We present a generalization of the Classical Yang-Baxter Equation (CYBE) for rank 3 objects, which emerges from d = 11 supergravity and the SL(5) ExFT. This equation is shown to reduce to the d = 10 CYBE upon dimensional reduction." } ], "imprints": [ { "date": "2019-11-23", "publisher": "Springer" } ] }