Five-dimensional path integrals for six-dimensional conformal field theories
Publication Date
2022-02-17Journal Title
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Volume
2022
Issue
2
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Lambert, N., Lipstein, A., Mouland, R., & Richmond, P. (2022). Five-dimensional path integrals for six-dimensional conformal field theories. Journal of High Energy Physics, 2022 (2) https://doi.org/10.1007/jhep02(2022)151
Abstract
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) × 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.
Keywords
Regular Article - Theoretical Physics, Nonperturbative Effects, Conformal Field Theory, M-Theory
Identifiers
jhep02(2022)151, 17836
External DOI: https://doi.org/10.1007/jhep02(2022)151
This record's URL: https://www.repository.cam.ac.uk/handle/1810/337549
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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