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We study a novel class of Renormalization Group flows which connectmulticritical versions of the two-dimensional Yang-Lee edge singularitydescribed by the conformal minimal models M(2,2n+3). The absence in thesemodels of an order parameter implies that the flows towards and betweenLee-Yang edge singularities are all related to the spontaneous breaking of PTsymmetry and comprise a pattern of flows in the space of PT symmetric theoriesconsistent with the c-theorem and the counting of relevant directions.Additionally, we find that while in a part of the phase diagram the domains ofunbroken and broken PT symmetry are separated by critical manifolds of classM(2,2n+3), other parts of the boundary between the two domains are notcritical.

PT breaking and RG flows between multicritical Yang-Lee fixed points