Ginzburg-Landau description of a class of non-unitary minimal models
Abstract It has been proposed that the Ginzburg-Landau description of the non-unitary conformal minimal model M (3, 8) is provided by the Euclidean theory of two real scalar fields with third-order interactions that have imaginary coefficients. The same lagrangian describes the non-unitary model M (...
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)170 |
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| author | Andrei Katsevich Igor R. Klebanov Zimo Sun |
| author_facet | Andrei Katsevich Igor R. Klebanov Zimo Sun |
| author_sort | Andrei Katsevich |
| collection | DOAJ |
| description | Abstract It has been proposed that the Ginzburg-Landau description of the non-unitary conformal minimal model M (3, 8) is provided by the Euclidean theory of two real scalar fields with third-order interactions that have imaginary coefficients. The same lagrangian describes the non-unitary model M (3, 10), which is a product of two Yang-Lee theories M (2, 5), and the Renormalization Group flow from it to M (3, 8). This proposal has recently passed an important consistency check, due to Y. Nakayama and T. Tanaka, based on the anomaly matching for non-invertible topological lines. In this paper, we elaborate the earlier proposal and argue that the two-field theory describes the D series modular invariants of both M (3, 8) and M (3, 10). We further propose the Ginzburg-Landau descriptions of the entire class of D series minimal models M (q, 3q – 1) and M (q, 3q + 1), with odd integer q. They involve PT $$ \mathcal{PT} $$ symmetric theories of two scalar fields with interactions of order q multiplied by imaginary coupling constants. |
| format | Article |
| id | doaj-art-9654ed5d24ce4fa5aea6f965fcb6e36e |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9654ed5d24ce4fa5aea6f965fcb6e36e2025-08-20T02:16:56ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025311510.1007/JHEP03(2025)170Ginzburg-Landau description of a class of non-unitary minimal modelsAndrei Katsevich0Igor R. Klebanov1Zimo Sun2Joseph Henry Laboratories, Princeton UniversityJoseph Henry Laboratories, Princeton UniversityJoseph Henry Laboratories, Princeton UniversityAbstract It has been proposed that the Ginzburg-Landau description of the non-unitary conformal minimal model M (3, 8) is provided by the Euclidean theory of two real scalar fields with third-order interactions that have imaginary coefficients. The same lagrangian describes the non-unitary model M (3, 10), which is a product of two Yang-Lee theories M (2, 5), and the Renormalization Group flow from it to M (3, 8). This proposal has recently passed an important consistency check, due to Y. Nakayama and T. Tanaka, based on the anomaly matching for non-invertible topological lines. In this paper, we elaborate the earlier proposal and argue that the two-field theory describes the D series modular invariants of both M (3, 8) and M (3, 10). We further propose the Ginzburg-Landau descriptions of the entire class of D series minimal models M (q, 3q – 1) and M (q, 3q + 1), with odd integer q. They involve PT $$ \mathcal{PT} $$ symmetric theories of two scalar fields with interactions of order q multiplied by imaginary coupling constants.https://doi.org/10.1007/JHEP03(2025)170Effective Field TheoriesGlobal SymmetriesRenormalization GroupScale and Conformal Symmetries |
| spellingShingle | Andrei Katsevich Igor R. Klebanov Zimo Sun Ginzburg-Landau description of a class of non-unitary minimal models Journal of High Energy Physics Effective Field Theories Global Symmetries Renormalization Group Scale and Conformal Symmetries |
| title | Ginzburg-Landau description of a class of non-unitary minimal models |
| title_full | Ginzburg-Landau description of a class of non-unitary minimal models |
| title_fullStr | Ginzburg-Landau description of a class of non-unitary minimal models |
| title_full_unstemmed | Ginzburg-Landau description of a class of non-unitary minimal models |
| title_short | Ginzburg-Landau description of a class of non-unitary minimal models |
| title_sort | ginzburg landau description of a class of non unitary minimal models |
| topic | Effective Field Theories Global Symmetries Renormalization Group Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP03(2025)170 |
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