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(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 symmetry and comprise a pattern of flows in the space of 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 symmetry are separated by critical manifolds of class M(2, 2n + 3), other parts of the boundary between the two domains are not critical.
PT breaking and RG flows between multicritical Yang-Lee fixed points / Lencsés, M.; Miscioscia, A.; Mussardo, G.; Takács, G.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2023:9(2023), pp. 1-15. [10.1007/JHEP09(2023)052]
PT breaking and RG flows between multicritical Yang-Lee fixed points
Mussardo, G.;
2023-01-01
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(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 symmetry and comprise a pattern of flows in the space of 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 symmetry are separated by critical manifolds of class M(2, 2n + 3), other parts of the boundary between the two domains are not critical.File | Dimensione | Formato | |
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