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Quantum noncommutative ABJM theory: first steps

dc.contributor.authorPérez Martín, Carmelo
dc.contributor.authorTrampetic, Josip
dc.contributor.authorYoud, Jiangyang
dc.date.accessioned2023-06-17T12:28:10Z
dc.date.available2023-06-17T12:28:10Z
dc.date.issued2018-03-19
dc.description© The Authors. The work by C.P. Martin has been financially supported in part by the Spanish MINECO through grant FPA2014-54154-P. This work is also supported by the Croatian Science Foundation (HRZZ) under Contract No. IP-2014-09-9582, and we acknowledge the support of the COST Action MP1405 (QSPACE). J. You acknowledges support by the H2020 Twining project No. 692194, RBI-T-WINNING, and would like to acknowledge the support of W. Hollik and the Max-Planck-Institute for Physics, Munich, for hospitality. We also thank Johanna Erdmenger, Karl Landsteiner and Jun-bao Wu for many discussions on gauge/gravity duality and/or ABJM theory.
dc.description.abstractWe introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N = 6 supersymmetric. For the U(1)_(κ) × U(1)_(−κ) case, we compute all one-loop 1PI two and three point functions in the Landau gauge and show that they are UV finite and have well-defined commutative limits θ^(µν) → 0, corresponding exactly to the 1PI functions of the ordinary ABJM field theory. This result also holds for all one-loop functions which are UV finite by power counting. It seems that the noncommutative quantum ABJM field theory is free from the noncommutative IR instabilities.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. H2020
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipCroatian Science Foundation (HRZZ)
dc.description.sponsorshipCOST Action
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/48024
dc.identifier.doi10.1007/JHEP04(2018)070
dc.identifier.issn1029-8479
dc.identifier.officialurlhttp://doi.org/10.1007/JHEP04(2018)070
dc.identifier.relatedurlhttps://link.springer.com
dc.identifier.relatedurlhttps://arxiv.org/abs/1711.09664
dc.identifier.urihttps://hdl.handle.net/20.500.14352/12174
dc.issue.number3
dc.journal.titleJournal of high energy physics
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDRBI-T-WINNING (692194)
dc.relation.projectIDFPA2014-54154-P
dc.relation.projectIDIP-2014-09-9582
dc.relation.projectIDMP1405 (QSPACE)
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu53
dc.subject.keywordField-theory
dc.subject.keywordSpace.
dc.subject.ucmFísica-Modelos matemáticos
dc.titleQuantum noncommutative ABJM theory: first steps
dc.typejournal article
dc.volume.number78
dspace.entity.typePublication
relation.isAuthorOfPublicationbf7276d2-1dee-4422-a116-e02a2b8b0ba3
relation.isAuthorOfPublication.latestForDiscoverybf7276d2-1dee-4422-a116-e02a2b8b0ba3

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