PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed points
Abstract We study a novel class of Renormalization Group flows which connect multicritical versions of the two-dimensional Yang-Lee edge singularity described by the conformal minimal models M $$ \mathcal{M} $$ (2, 2n + 3). The absence in these models of an order parameter implies that the flows tow...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)052 |
| _version_ | 1797371201433108480 |
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| author | Máté Lencsés Alessio Miscioscia Giuseppe Mussardo Gábor Takács |
| author_facet | Máté Lencsés Alessio Miscioscia Giuseppe Mussardo Gábor Takács |
| author_sort | Máté Lencsés |
| collection | DOAJ |
| description | Abstract We study a novel class of Renormalization Group flows which connect multicritical versions of the two-dimensional Yang-Lee edge singularity described by the conformal minimal models M $$ \mathcal{M} $$ (2, 2n + 3). The absence in these models of an order parameter implies that the flows towards and between Yang-Lee edge singularities are all related to the spontaneous breaking of PT $$ \mathcal{PT} $$ symmetry and comprise a pattern of flows in the space of PT $$ \mathcal{PT} $$ symmetric theories consistent with the c-theorem and the counting of relevant directions. Additionally, we find that while in a part of the phase diagram the domains of unbroken and broken PT $$ \mathcal{PT} $$ symmetry are separated by critical manifolds of class M $$ \mathcal{M} $$ (2, 2n + 3), other parts of the boundary between the two domains are not critical. |
| first_indexed | 2024-03-08T18:15:24Z |
| format | Article |
| id | doaj.art-43073e5903664594b246b09e6eb1a052 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:15:24Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-43073e5903664594b246b09e6eb1a0522023-12-31T12:08:40ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023911510.1007/JHEP09(2023)052PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed pointsMáté Lencsés0Alessio Miscioscia1Giuseppe Mussardo2Gábor Takács3Wigner Research Centre for PhysicsDeutsches Elektronen-Synchrotron DESYSISSA & INFN, Sezione di TriesteDepartment of Theoretical Physics, Institute of Physics, Budapest University of Technology and EconomicsAbstract We study a novel class of Renormalization Group flows which connect multicritical versions of the two-dimensional Yang-Lee edge singularity described by the conformal minimal models M $$ \mathcal{M} $$ (2, 2n + 3). The absence in these models of an order parameter implies that the flows towards and between Yang-Lee edge singularities are all related to the spontaneous breaking of PT $$ \mathcal{PT} $$ symmetry and comprise a pattern of flows in the space of PT $$ \mathcal{PT} $$ symmetric theories consistent with the c-theorem and the counting of relevant directions. Additionally, we find that while in a part of the phase diagram the domains of unbroken and broken PT $$ \mathcal{PT} $$ symmetry are separated by critical manifolds of class M $$ \mathcal{M} $$ (2, 2n + 3), other parts of the boundary between the two domains are not critical.https://doi.org/10.1007/JHEP09(2023)052Field Theories in Lower DimensionsIntegrable Field TheoriesRenormalization GroupScale and Conformal Symmetries |
| spellingShingle | Máté Lencsés Alessio Miscioscia Giuseppe Mussardo Gábor Takács PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed points Journal of High Energy Physics Field Theories in Lower Dimensions Integrable Field Theories Renormalization Group Scale and Conformal Symmetries |
| title | PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed points |
| title_full | PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed points |
| title_fullStr | PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed points |
| title_full_unstemmed | PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed points |
| title_short | PT $$ \mathcal{PT} $$ breaking and RG flows between multicritical Yang-Lee fixed points |
| title_sort | pt mathcal pt breaking and rg flows between multicritical yang lee fixed points |
| topic | Field Theories in Lower Dimensions Integrable Field Theories Renormalization Group Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP09(2023)052 |
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