In Bakhmatov et al. (Phys. Rev. D 105(8): L081904, 2022) we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of that result which is based on SL(5) exceptional field theory. The equations are obtained by making a non-unimodular tri-vector Yang-Baxter deformation which breaks the initial local diffeomorphism symmetry in 11 dimensions down to separate coordinate transformations in external 7 and internal 4 directions. We also give some non-trivial solutions to these equations.
{ "_oai": { "updated": "2023-03-10T21:35:06Z", "id": "oai:repo.scoap3.org:75112", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "Russia", "value": "Institute of Theoretical and Mathematical Physics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia", "organization": "Moscow State University" }, { "country": "Russia", "value": "Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, 141700, Russia", "organization": "Moscow Institute of Physics and Technology" } ], "surname": "Bakhmatov", "email": "ibakhmatov@itmp.msu.ru", "full_name": "Bakhmatov, Ilya", "given_names": "Ilya" }, { "affiliations": [ { "country": "Turkey", "value": "Department of Mathematics, Istanbul Technical University, Maslak, Istanbul, 34469, Turkey", "organization": "Istanbul Technical University" } ], "surname": "\u00c7atal-\u00d6zer", "email": "ozerayb@itu.edu.tr", "full_name": "\u00c7atal-\u00d6zer, Aybike", "given_names": "Aybike" }, { "affiliations": [ { "country": "Turkey", "value": "Department of Mathematics, Bogazici University, Bebek, Istanbul, 34342, Turkey", "organization": "Bogazici 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 pereulok 9, Dolgoprudny, 141700, Russia", "organization": "Moscow Institute of Physics and Technology" } ], "surname": "Gubarev", "email": "kirill.gubarev@phystech.edu", "full_name": "Gubarev, Kirill", "given_names": "Kirill" }, { "affiliations": [ { "country": "Russia", "value": "Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, 141700, Russia", "organization": "Moscow Institute of Physics and Technology" } ], "surname": "Musaev", "email": "musaev.et@phystech.edu", "full_name": "Musaev, Edvard", "given_names": "Edvard" } ], "titles": [ { "source": "Springer", "title": "Generalized 11D supergravity equations from tri-vector deformations" } ], "dois": [ { "value": "10.1140/epjc/s10052-022-11163-6" } ], "publication_info": [ { "page_end": "21", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "83", "artid": "s10052-022-11163-6", "year": 2023, "page_start": "1", "journal_issue": "1" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-03-10T21:32:20.643252", "source": "Springer", "method": "Springer", "submission_number": "b6222fd2bf8a11eda920065bd8dc6b20" }, "page_nr": [ 21 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "75112", "record_creation_date": "2023-01-18T15:30:11.157166", "_files": [ { "checksum": "md5:486fe87ebde941d896105ec888a436c9", "filetype": "xml", "bucket": "45dd33de-6a61-4217-8eb1-44ba58c624f0", "version_id": "4165b0c4-767b-4ab7-8097-3df5a53ca816", "key": "10.1140/epjc/s10052-022-11163-6.xml", "size": 14893 }, { "checksum": "md5:14a5fd3fe7418b7b40bc7c420485a5cd", "filetype": "pdf/a", "bucket": "45dd33de-6a61-4217-8eb1-44ba58c624f0", "version_id": "0b72d787-81ef-4839-9e35-24901fde5230", "key": "10.1140/epjc/s10052-022-11163-6_a.pdf", "size": 571333 } ], "collections": [ { "primary": "European Physical Journal C" } ], "abstracts": [ { "source": "Springer", "value": "In Bakhmatov et al. (Phys. Rev. D 105(8): L081904, 2022) we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of that result which is based on SL(5) exceptional field theory. The equations are obtained by making a non-unimodular tri-vector Yang-Baxter deformation which breaks the initial local diffeomorphism symmetry in 11 dimensions down to separate coordinate transformations in external 7 and internal 4 directions. We also give some non-trivial solutions to these equations." } ], "imprints": [ { "date": "2023-01-18", "publisher": "Springer" } ] }