Recently, $$ \mathcal{N} $$ = 3 mass-deformed ABJM model with arbitrary mass-function depending on a spatial coordinate was constructed. In addition to the $$ \mathcal{N} $$ = 3 case, we construct lower supersymmetric $$ \mathcal{N} $$ = 1 and $$ \mathcal{N} $$ = 2 inhomogeneously mass-deformed ABJM (ImABJM) models, which require three and two arbitrary mass-functions, respectively. We also construct general vacuum solutions of the $$ \mathcal{N} $$ = 3 ImABJM model for any periodic mass-function. There are two classes of vacua, which are diagonal type and GRVV type according to reference value of mass-functions. We provide explicit examples of the vacuum solutions and discuss related operators.
{ "_oai": { "updated": "2019-12-27T00:31:56Z", "id": "oai:repo.scoap3.org:51698", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "South Korea", "value": "Department of Physics, Sejong University, Seoul, 05006, Korea", "organization": "Sejong University" } ], "surname": "Kim", "email": "kimkyungkiu@sejong.ac.kr", "full_name": "Kim, Kyung", "given_names": "Kyung" }, { "affiliations": [ { "country": "South Korea", "value": "Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea", "organization": "Sungkyunkwan University" } ], "surname": "Kim", "email": "yoonbai@skku.edu", "full_name": "Kim, Yoonbai", "given_names": "Yoonbai" }, { "affiliations": [ { "country": "South Korea", "value": "Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea", "organization": "Sungkyunkwan University" } ], "surname": "Kwon", "email": "okab@skku.edu", "full_name": "Kwon, O-Kab", "given_names": "O-Kab" }, { "affiliations": [ { "country": "South Korea", "value": "Department of Physics, Ewha Womans University, Seoul, 03760, Korea", "organization": "Ewha Womans University" } ], "surname": "Kim", "email": "cjkim@ewha.ac.kr", "full_name": "Kim, Chanju", "given_names": "Chanju" } ], "titles": [ { "source": "Springer", "title": "Aspects of massive ABJM models with inhomogeneous mass parameters" } ], "dois": [ { "value": "10.1007/JHEP12(2019)153" } ], "publication_info": [ { "page_end": "27", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2019", "artid": "JHEP12(2019)153", "year": 2019, "page_start": "1", "journal_issue": "12" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2019-12-27T01:30:32.190809", "source": "Springer", "method": "Springer", "submission_number": "0450eecc284011eaad1402163e01809a" }, "page_nr": [ 27 ], "license": [ { "url": "https://creativecommons.org/licenses/by/3.0", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2019" } ], "control_number": "51698", "record_creation_date": "2019-12-27T01:30:32.190829", "_files": [ { "checksum": "md5:aed4fd9caf2bac707902f66a9e52d7ca", "filetype": "xml", "bucket": "79a088d0-4a0d-4fb7-a194-d234480b859e", "version_id": "f08401ba-043e-4152-a25e-f23bd87ad874", "key": "10.1007/JHEP12(2019)153.xml", "size": 13527 }, { "checksum": "md5:10ce2754f87a08188e7c6520b5a1d7af", "filetype": "pdf/a", "bucket": "79a088d0-4a0d-4fb7-a194-d234480b859e", "version_id": "6fee1c5e-e544-463e-b905-544fe47c5478", "key": "10.1007/JHEP12(2019)153_a.pdf", "size": 719080 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "1910.05044" } ], "abstracts": [ { "source": "Springer", "value": "Recently, <math> <mi>N</mi> </math> $$ \\mathcal{N} $$ = 3 mass-deformed ABJM model with arbitrary mass-function depending on a spatial coordinate was constructed. In addition to the <math> <mi>N</mi> </math> $$ \\mathcal{N} $$ = 3 case, we construct lower supersymmetric <math> <mi>N</mi> </math> $$ \\mathcal{N} $$ = 1 and <math> <mi>N</mi> </math> $$ \\mathcal{N} $$ = 2 inhomogeneously mass-deformed ABJM (ImABJM) models, which require three and two arbitrary mass-functions, respectively. We also construct general vacuum solutions of the <math> <mi>N</mi> </math> $$ \\mathcal{N} $$ = 3 ImABJM model for any periodic mass-function. There are two classes of vacua, which are diagonal type and GRVV type according to reference value of mass-functions. We provide explicit examples of the vacuum solutions and discuss related operators." } ], "imprints": [ { "date": "2019-12-23", "publisher": "Springer" } ] }