Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.07511 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908456443707392 |
|---|---|
| author | Ambrosino, Federico Negro, Stefano |
| author_facet | Ambrosino, Federico Negro, Stefano |
| contents | In this letter we continue the investigation of RG flows between minimal models that are protected by non-invertible symmetries. RG flows leaving unbroken a subcategory of non-invertible symmetries are associated with anomaly-matching conditions that we employ systematically to map the space of flows between Virasoro Minimal models beyond the $\mathbb{Z}_2$-symmetric proposed recently in the literature. We introduce a family of non-linear integral equations that appear to encode the exact finite-size, ground-state energies of these flows, including non-integrable cases, such as the recently proposed $\mathcal{M}(k q + I,q) \to \mathcal{M}(k q - I,q)$. Our family of NLIEs encompasses and generalises the integrable flows known in the literature: $ϕ_{(1,3)}$, $ϕ_{(1,5)}$, $ϕ_{(1,2)}$ and $ϕ_{(2,1)}$. This work uncovers a new interplay between exact solvability and non-invertible symmetries. Furthermore, our non-perturbative description provides a non-trivial test for all the flows conjectured by anomaly matching conditions, but so far not-observed by other means. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal Models RG flows: non-invertible symmetries & non-perturbative description Ambrosino, Federico Negro, Stefano High Energy Physics - Theory In this letter we continue the investigation of RG flows between minimal models that are protected by non-invertible symmetries. RG flows leaving unbroken a subcategory of non-invertible symmetries are associated with anomaly-matching conditions that we employ systematically to map the space of flows between Virasoro Minimal models beyond the $\mathbb{Z}_2$-symmetric proposed recently in the literature. We introduce a family of non-linear integral equations that appear to encode the exact finite-size, ground-state energies of these flows, including non-integrable cases, such as the recently proposed $\mathcal{M}(k q + I,q) \to \mathcal{M}(k q - I,q)$. Our family of NLIEs encompasses and generalises the integrable flows known in the literature: $ϕ_{(1,3)}$, $ϕ_{(1,5)}$, $ϕ_{(1,2)}$ and $ϕ_{(2,1)}$. This work uncovers a new interplay between exact solvability and non-invertible symmetries. Furthermore, our non-perturbative description provides a non-trivial test for all the flows conjectured by anomaly matching conditions, but so far not-observed by other means. |
| title | Minimal Models RG flows: non-invertible symmetries & non-perturbative description |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.07511 |