dc.contributor.author Bottini, LE dc.contributor.author Hwang, C dc.contributor.author Pasquetti, S dc.contributor.author Sacchi, M dc.date.accessioned 2022-03-08T16:15:24Z dc.date.available 2022-03-08T16:15:24Z dc.date.issued 2022-03-07 dc.date.submitted 2021-11-04 dc.identifier.issn 1029-8479 dc.identifier.other jhep03(2022)035 dc.identifier.other 17929 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/334774 dc.description.abstract Abstract In this paper we present various 4d$$\mathcal{N}$$ N = 1 dualities involving theories obtained by gluing two E[USp(2N)] blocks via the gauging of a common USp(2N) symmetry with the addition of 2L fundamental matter chiral fields. For L = 0 in particular the theory has a quantum deformed moduli space with chiral symmetry breaking and its index takes the form of a delta-function. We interpret it as the Identity wall which identifies the two surviving USp(2N) of each E[USp(2N)] block. All the dualities are derived from iterative applications of the Intriligator-Pouliot duality. This plays for us the role of the fundamental duality, from which we derive all others. We then focus on the 3d version of our 4d dualities, which now involve the $$\mathcal{N}$$ N = 4 T[SU(N)] quiver theory that is known to correspond to the 3d S-wall. We show how these 3d dualities correspond to the relations S2 = 1, S1S = 1 and STS = T1S1T1 for the S and T generators of SL(2, ℤ). These observations lead us to conjecture that E[USp(2N)] can also be interpreted as a 4d S-wall. dc.language en dc.publisher Springer Science and Business Media LLC dc.subject Regular Article - Theoretical Physics dc.subject Duality in Gauge Field Theories dc.subject Supersymmetric Gauge Theory dc.subject Supersymmetry and Duality dc.title 4d S-duality wall and SL(2, ℤ) relations dc.type Article dc.date.updated 2022-03-08T16:15:24Z prism.issueIdentifier 3 prism.publicationName Journal of High Energy Physics prism.volume 2022 dc.identifier.doi 10.17863/CAM.82204 dcterms.dateAccepted 2022-02-20 rioxxterms.versionofrecord 10.1007/JHEP03(2022)035 rioxxterms.version VoR rioxxterms.licenseref.uri http://creativecommons.org/licenses/by/4.0/ dc.contributor.orcid Sacchi, M [0000-0003-0316-3369] dc.identifier.eissn 1029-8479 cam.issuedOnline 2022-03-07 dc.identifier.arxiv 2110.08001
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