New families of flows between two-dimensional conformal field theories

Details New families of flows between two-dimensional conformal field theories New families of flows between two-dimensional conformal field theories

2000-01-27

arxiv.org/abs/hep-th/0001185v2

Nucl.Phys. B578 (2000) 699-727

Physics

High Energy Physics

High Energy Physics - Theory

31 pages with 8 eps figures. LaTex2e, uses amssymb,cite,graphics.Minor typos corrected

Scientific paper

10.1016/S0550-3213(00)00185-1

We present evidence for the existence of infinitely-many new families of renormalisation group flows between the nonunitary minimal models of conformal field theory. These are associated with perturbations by the $\phi_{21}$ and $\phi_{15}$ operators, and generalise a family of flows discovered by Martins. In all of the new flows, the finite-volume effective central charge is a non-monotonic function of the system size. The evolution of this effective central charge is studied by means of a nonlinear integral equation, a massless variant of an equation recently found to describe certain massive perturbations of these same models. We also observe that a similar non-monotonicity arises in the more familiar $\phi_{13}$ perturbations, when the flows induced are between nonunitary minimal models.

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