Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their possible conformal fixed points. Using the correspon-dence between F-theory reduced on a circle and M-theory on the corresponding elliptically fibered Calabi-Yau threefold, we show that each 6D SCFT with minimal supersymmetry directly reduces to a collection of between one and four 5D SCFTs. Additionally, we find that in most cases, reduction of the tensor branch of a 6D SCFT yields a 5D generalization of a quiver gauge theory. These two reductions of the theory often correspond to different phases in the 5D theory which are in general connected by a sequence of flop transitions in the extended Kähler cone of the Calabi-Yau threefold. We also elaborate on the structure of the resulting conformal fixed points, and emergent flavor symmetries, as realized by M-theory on a canonical singularity.
{ "_oai": { "updated": "2018-04-30T21:33:21Z", "id": "oai:repo.scoap3.org:21731" }, "authors": [ { "raw_name": "Zotto, Michele", "affiliations": [ { "country": "USA", "value": "Simons Center for Geometry and Physics, Stony Brook, NY, 11794, U.S.A." } ], "surname": "Zotto", "given_names": "Michele", "full_name": "Zotto, Michele" }, { "raw_name": "Heckman, Jonathan", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of North Carolina, Chapel Hill, NC, 27599, U.S.A." } ], "surname": "Heckman", "given_names": "Jonathan", "full_name": "Heckman, Jonathan" }, { "raw_name": "Morrison, David", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of California Santa Barbara, Santa Barbara, CA, 93106, U.S.A." }, { "country": "USA", "value": "Department of Mathematics, University of California Santa Barbara, Santa Barbara, CA, 93106, U.S.A." } ], "surname": "Morrison", "given_names": "David", "full_name": "Morrison, David" } ], "titles": [ { "source": "Springer/SISSA", "title": "6D SCFTs and phases of 5D theories" } ], "dois": [ { "value": "10.1007/JHEP09(2017)147" } ], "publication_info": [ { "page_start": "147", "material": "article", "journal_title": "Journal of High Energy Physics", "year": 2017 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2017-09-30T00:00:00", "source": "Springer/SISSA", "method": "scoap3", "submission_number": "3e8ae16c4cbc11e8b67702163e01809a" }, "page_nr": [ 38 ], "license": [ { "url": "http://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "The Author(s)" } ], "control_number": "21731", "record_creation_date": "2017-09-30T00:00:00", "_files": [ { "checksum": "md5:cf8e946d44a8c364a4e1d0158563d7fd", "filetype": "xml", "bucket": "bc7a9e8b-f3e7-4390-ae8d-d32752b2a260", "version_id": "b4eafe83-040a-4e59-ae49-58f8c0596ee7", "key": "10.1007/JHEP09(2017)147.xml", "size": 119240 }, { "checksum": "md5:6eb22e38d9f0c16cb80729efccd87a0d", "filetype": "pdf/a", "bucket": "bc7a9e8b-f3e7-4390-ae8d-d32752b2a260", "version_id": "44796948-50c6-4eea-bab5-ae2cb82b4eaf", "key": "10.1007/JHEP09(2017)147_a.pdf", "size": 985419 } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "1703.02981" } ], "abstracts": [ { "source": "Springer/SISSA", "value": "Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their possible conformal fixed points. Using the correspon-dence between F-theory reduced on a circle and M-theory on the corresponding elliptically fibered Calabi-Yau threefold, we show that each 6D SCFT with minimal supersymmetry directly reduces to a collection of between one and four 5D SCFTs. Additionally, we find that in most cases, reduction of the tensor branch of a 6D SCFT yields a 5D generalization of a quiver gauge theory. These two reductions of the theory often correspond to different phases in the 5D theory which are in general connected by a sequence of flop transitions in the extended K\u00e4hler cone of the Calabi-Yau threefold. We also elaborate on the structure of the resulting conformal fixed points, and emergent flavor symmetries, as realized by M-theory on a canonical singularity." } ], "imprints": [ { "date": "2017-09-28", "publisher": "Springer/SISSA" } ] }