Boundary flows in minimal models

Details Boundary flows in minimal models Boundary flows in minimal models

1998-02-10

arxiv.org/abs/hep-th/9802061v1

Phys.Lett. B427 (1998) 85-92

Physics

High Energy Physics

High Energy Physics - Theory

13pgs, harvmac, 2 figs

Scientific paper

10.1016/S0370-2693(98)00324-4

We discuss in this paper the behaviour of minimal models of conformal theory perturbed by the operator $\Phi_{13}$ at the boundary. Using the RSOS restriction of the sine-Gordon model, adapted to the boundary problem, a series of boundary flows between different set of conformally invariant boundary conditions are described. Generalizing the "staircase" phenomenon discovered by Al. Zamolodchikov, we find that an analytic continuation of the boundary sinh-Gordon model provides a flow interpolation not only between all minimal models in the bulk, but also between their possible conformal boundary conditions. In the particular case where the bulk sinh-Gordon coupling is turned to zero, we obtain a boundary roaming trajectory in the $c=1$ theory that interpolates between all the possible spin $S$ Kondo models.

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