N. Lambert
Five-dimensional non-Lorentzian conformal field theories and their relation to six-dimensions
Lambert, N.; Lipstein, A.; Mouland, R.; Richmond, P.
Abstract
We study correlation functions in five-dimensional non-Lorentzian theories with an SU(1, 3) conformal symmetry. Examples of such theories have recently been obtained as Ω-deformed Yang-Mills Lagrangians arising from a null reduction of six-dimensional superconformal field theories on a conformally compactified Minkowski space. The correlators exhibit a rich structure with many novel properties compared to conventional correlators in Lorentzian conformal field theories. Moreover, identifying the instanton number with the Fourier mode number of the dimensional reduction offers a hope to formulate six-dimensional conformal field theories in terms of five-dimensional Lagrangian theories. To this end we show that the Fourier decompositions of six-dimensional correlation functions solve the Ward identities of the SU(1, 3) symmetry, although more general solutions are possible. Conversely we illustrate how one can reconstruct six-dimensional correlation functions from those of a five-dimensional theory, and do so explicitly at 2- and 3-points. We also show that, in a suitable decompactification limit Ω → 0, the correlation functions become those of the DLCQ description.
Citation
Lambert, N., Lipstein, A., Mouland, R., & Richmond, P. (2021). Five-dimensional non-Lorentzian conformal field theories and their relation to six-dimensions. Journal of High Energy Physics, 2021(3), Article 53. https://doi.org/10.1007/jhep03%282021%29053
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 25, 2021 |
Online Publication Date | Mar 4, 2021 |
Publication Date | 2021 |
Deposit Date | Mar 7, 2021 |
Publicly Available Date | Mar 9, 2021 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Electronic ISSN | 1029-8479 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2021 |
Issue | 3 |
Article Number | 53 |
DOI | https://doi.org/10.1007/jhep03%282021%29053 |
Public URL | https://durham-repository.worktribe.com/output/1251728 |
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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.
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