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Five-dimensional path integrals for six-dimensional conformal field theories

cam.issuedOnline2022-02-17
dc.contributor.authorLambert, N
dc.contributor.authorLipstein, A
dc.contributor.authorMouland, R
dc.contributor.authorRichmond, P
dc.contributor.orcidMouland, Rishi [0000-0001-7811-4014]
dc.date.accessioned2022-05-27T16:08:13Z
dc.date.available2022-05-27T16:08:13Z
dc.date.issued2022
dc.date.submitted2021-10-01
dc.date.updated2022-05-27T16:08:12Z
dc.description.abstractIn this paper we derive Ward-Takahashi identities from the path integral of supersymmetric five-dimensional field theories with an $SU(1,3)$ spacetime symmetry in the presence of instantons. We explicitly show how $SU(1,3)$ is enhanced to $SU(1,3)\times U(1)$ where the additional $U(1)$ acts non-perturbatively. Solutions to such Ward-Takahashi identities were previously obtained from correlators of six-dimensional Lorentzian conformal field theories but where the instanton number was replaced by the momentum along a null direction. Here we study the reverse procedure whereby we construct correlation functions out of towers of five-dimensional operators which satisfy the Ward-Takahashi identities of a six-dimensional conformal field theory. This paves the way to computing observables in six dimensions using five-dimensional path integral techniques. We also argue that, once the instanton sector is included into the path integral, the coupling of the five-dimensional Lagrangian must be quantised, leaving no free continuous parameters.
dc.identifier.arxiv2109.04829
dc.identifier.doi10.17863/CAM.84958
dc.identifier.eissn1029-8479
dc.identifier.issn1029-8479
dc.identifier.otherjhep02(2022)151
dc.identifier.other17836
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/337549
dc.languageen
dc.language.isoeng
dc.publisherSpringer Science and Business Media LLC
dc.publisher.urlhttp://dx.doi.org/10.1007/JHEP02(2022)151
dc.subjectNonperturbative Effects
dc.subjectConformal Field Theory
dc.subjectM-Theory
dc.titleFive-dimensional path integrals for six-dimensional conformal field theories
dc.typeArticle
dcterms.dateAccepted2022-02-02
prism.issueIdentifier2
prism.publicationNameJOURNAL OF HIGH ENERGY PHYSICS
prism.volume2022
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
rioxxterms.versionVoR
rioxxterms.versionofrecord10.1007/JHEP02(2022)151

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