Localization of flux lines to splayed columnar pins is studied. A sine
-Gordon type renormalization group (RG) Study reveals the existence of
a splay glass phase and yields an analytic form for the transition te
mperature into the glass phase. As an independent test, the I-V charac
teristics are determined via a molecular dynamics code. The glass tran
sition temperature supports the RG results convincingly. The full phas
e diagram of the model is constructed.