We present a study of thermal conductivity in the normal state of the heavy-fermion superconductor URu2Si2. Ordering at 18K leads to a steep increase in thermal conductivity and (in contrast with all other cases of magnetic ordering in heavy-fermion compounds) to an enhancement of the Lorenz number. By linking this observation to several other previously reported features, we conclude that most of the carriers disappear in the ordered state and this leads to a drastic increase in both phononic and electronic mean-free-path.PACS numbers: 72.15. Eb, 71.27.+a, 63.20.Kr Over the years, the phase transition which occurs at T 0 ∼ 18 K in URu 2 Si 2 has become a notorious enigma of Heavy-Fermion(HF) physics. This phase transition is associated with a large jump in heat capacity [1,2,3] similar to the one observed in several anti-ferromagnetically ordered HF compounds. On the other hand, and in contrast with the latter, the magnetic moment in the ordered state appears to be very weak(∼ 0.03µ B /U) [4]. Such a small magnetic moment is a feature found in many HF compounds. The puzzle of URu 2 Si 2 resides in this unique combination. This is the only case of ordering by heavy electrons with large anomalies in all macroscopic properties leading to a tiny magnetic moment.In order to resolve this apparent paradox, many models have been proposed [5,6,7,8,9,10,11]. It is widely suspected that there is a hidden order parameter[12] distinct from the weak antiferromagnetism. Several exotic orders have been imagined [5,6,9,10]. More recently, a feature in the 29 Si NMR data has provided support for electronic phase separation in the hidden-order state [13]. The debate has been mostly focused on the unusual thermodynamic properties of this ordering. The challenge for the theory has been to identify the degrees of freedom corresponding to the huge amount of entropy lost in the transition. Transport properties have not attracted a comparable attention. However, as indicated by the recent observation of a very large Nernst effect in the hidden-order state [14], they may prove to contain interesting information.In this paper, we report on a study of thermal conductivity in URu 2 Si 2 that detects a notable difference between this compound and all other HF systems which order anti-ferromagneically. The distinct signature of this phase transition in thermal transport is a steep increase in the Lorenz number at the onset of transition. After checking the validity of the Wiedemann-Franz law in the ordered state, we will argue that results support a scenario in which most of the electronic carriers vanish and this leads to an increase in the mean-freepath of both surviving quasi-particles and heat-carrying phonons. Thus, the consequences of this phase transition on thermal transport are strikingly similar to the well-known case of the superconducting transition in the high-T c cuprates.This observation highlights the drastic decrease in the carrier density induced by the hidden order leads in URu 2 Si 2 , which becomes one order of magnit...