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Type IIB supergravity admits Janus and multi-Janus solutions with eightunbroken supersymmetries that are locally asymptotic to AdS_3 x S^3 x M_4(where M_4 is either T^4 or K_3). These solutions are dual to two or more CFTsdefined on half-planes which share a common line interface. Their geometryconsists of an AdS_2 x S^2 x M_4 fibration over a simply connected Riemannsurface Sigma with boundary.  In the present paper, we show that regular exact solutions exist also forsurfaces Sigma which are not simply connected. Specifically, we construct indetail solutions for which Sigma has the topology of an annulus. Thisconstruction is generalized to produce solutions for any surface Sigma with thetopology of an open string worldsheet with g holes.

Open Worldsheets for Holographic Interfaces