Melonic limits of the quartic Yukawa model and general features of melonic CFTs
Abstract We study a set of large-N tensor field theories with a rich structure of fixed points, encompassing both the melonic and prismatic CFTs observed previously in the conformal limits of other tensor theories and in the generalised Sachdev-Ye-Kitaev (SYK) model. The tensor fields interact via a...
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)187 |
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| author | Ludo Fraser-Taliente John Wheater |
| author_facet | Ludo Fraser-Taliente John Wheater |
| author_sort | Ludo Fraser-Taliente |
| collection | DOAJ |
| description | Abstract We study a set of large-N tensor field theories with a rich structure of fixed points, encompassing both the melonic and prismatic CFTs observed previously in the conformal limits of other tensor theories and in the generalised Sachdev-Ye-Kitaev (SYK) model. The tensor fields interact via an O(N)3-invariant generalisation of the quartic Yukawa model, ϕ 2 ψ ¯ ψ $$ {\phi}^2\overline{\psi}\psi $$ + ϕ 6. To understand the structure of IR/UV fixed points, we perform a partial four-loop perturbative analysis in D = 3 − ϵ. We identify the flows between the melonic and prismatic fixed points in the bosonic and fermionic sectors, finding an apparent line of fixed points in both. We reproduce these fixed points non-perturbatively using the Schwinger-Dyson equations, and in addition identify the supersymmetric fixed points in general dimension. Selecting a particular fermionic fixed point, we study its conformal spectrum non-perturbatively, comparing it to the sextic prismatic model. In particular, we establish the dimensional windows in which this theory remains stable. We comment on the structure of large-N melonic CFTs across various dimensions, noting a number of features which we expect to be common to any such theory. |
| format | Article |
| id | doaj-art-fba5ff54e0694312befc7a4b2e5c5b40 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-fba5ff54e0694312befc7a4b2e5c5b402025-02-09T12:08:19ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025116110.1007/JHEP01(2025)187Melonic limits of the quartic Yukawa model and general features of melonic CFTsLudo Fraser-Taliente0John Wheater1Rudolf Peierls Centre for Theoretical Physics, University of OxfordRudolf Peierls Centre for Theoretical Physics, University of OxfordAbstract We study a set of large-N tensor field theories with a rich structure of fixed points, encompassing both the melonic and prismatic CFTs observed previously in the conformal limits of other tensor theories and in the generalised Sachdev-Ye-Kitaev (SYK) model. The tensor fields interact via an O(N)3-invariant generalisation of the quartic Yukawa model, ϕ 2 ψ ¯ ψ $$ {\phi}^2\overline{\psi}\psi $$ + ϕ 6. To understand the structure of IR/UV fixed points, we perform a partial four-loop perturbative analysis in D = 3 − ϵ. We identify the flows between the melonic and prismatic fixed points in the bosonic and fermionic sectors, finding an apparent line of fixed points in both. We reproduce these fixed points non-perturbatively using the Schwinger-Dyson equations, and in addition identify the supersymmetric fixed points in general dimension. Selecting a particular fermionic fixed point, we study its conformal spectrum non-perturbatively, comparing it to the sextic prismatic model. In particular, we establish the dimensional windows in which this theory remains stable. We comment on the structure of large-N melonic CFTs across various dimensions, noting a number of features which we expect to be common to any such theory.https://doi.org/10.1007/JHEP01(2025)1871/N ExpansionRenormalization GroupNonperturbative Effects |
| spellingShingle | Ludo Fraser-Taliente John Wheater Melonic limits of the quartic Yukawa model and general features of melonic CFTs Journal of High Energy Physics 1/N Expansion Renormalization Group Nonperturbative Effects |
| title | Melonic limits of the quartic Yukawa model and general features of melonic CFTs |
| title_full | Melonic limits of the quartic Yukawa model and general features of melonic CFTs |
| title_fullStr | Melonic limits of the quartic Yukawa model and general features of melonic CFTs |
| title_full_unstemmed | Melonic limits of the quartic Yukawa model and general features of melonic CFTs |
| title_short | Melonic limits of the quartic Yukawa model and general features of melonic CFTs |
| title_sort | melonic limits of the quartic yukawa model and general features of melonic cfts |
| topic | 1/N Expansion Renormalization Group Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP01(2025)187 |
| work_keys_str_mv | AT ludofrasertaliente meloniclimitsofthequarticyukawamodelandgeneralfeaturesofmeloniccfts AT johnwheater meloniclimitsofthequarticyukawamodelandgeneralfeaturesofmeloniccfts |