Five-dimensional path integrals for six-dimensional conformal field theories
| cam.issuedOnline | 2022-02-17 | |
| dc.contributor.author | Lambert, N | |
| dc.contributor.author | Lipstein, A | |
| dc.contributor.author | Mouland, R | |
| dc.contributor.author | Richmond, P | |
| dc.contributor.orcid | Mouland, Rishi [0000-0001-7811-4014] | |
| dc.date.accessioned | 2022-05-27T16:08:13Z | |
| dc.date.available | 2022-05-27T16:08:13Z | |
| dc.date.issued | 2022 | |
| dc.date.submitted | 2021-10-01 | |
| dc.date.updated | 2022-05-27T16:08:12Z | |
| dc.description.abstract | In 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.arxiv | 2109.04829 | |
| dc.identifier.doi | 10.17863/CAM.84958 | |
| dc.identifier.eissn | 1029-8479 | |
| dc.identifier.issn | 1029-8479 | |
| dc.identifier.other | jhep02(2022)151 | |
| dc.identifier.other | 17836 | |
| dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/337549 | |
| dc.language | en | |
| dc.language.iso | eng | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.publisher.url | http://dx.doi.org/10.1007/JHEP02(2022)151 | |
| dc.subject | Nonperturbative Effects | |
| dc.subject | Conformal Field Theory | |
| dc.subject | M-Theory | |
| dc.title | Five-dimensional path integrals for six-dimensional conformal field theories | |
| dc.type | Article | |
| dcterms.dateAccepted | 2022-02-02 | |
| prism.issueIdentifier | 2 | |
| prism.publicationName | JOURNAL OF HIGH ENERGY PHYSICS | |
| prism.volume | 2022 | |
| rioxxterms.licenseref.uri | http://creativecommons.org/licenses/by/4.0/ | |
| rioxxterms.version | VoR | |
| rioxxterms.versionofrecord | 10.1007/JHEP02(2022)151 |
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