Skip to main content

Research Repository

Advanced Search

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

Lambert, N.; Lipstein, A.; Mouland, R.; Richmond, P.

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


Authors

N. Lambert

R. Mouland

P. Richmond



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.

Citation

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), Article 151. https://doi.org/10.1007/jhep02%282022%29151

Journal Article Type Article
Acceptance Date Feb 2, 2022
Online Publication Date Feb 17, 2022
Publication Date 2022-02
Deposit Date Feb 22, 2022
Publicly Available Date Feb 23, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 2
Article Number 151
DOI https://doi.org/10.1007/jhep02%282022%29151
Related Public URLs https://arxiv.org/abs/2109.04829

Files

Published Journal Article (555 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





You might also like



Downloadable Citations