Pis’ma v ZhETF, vol. 105, iss. 4, pp. 217 – 218 2017 February 25 c Full replica symmetry breaking in p-spin-glass-like systems1) T. I. Schelkachevaa, N.M.Chtchelkatcheva,b,c,d,e2) aInstitute for High Pressure Physics, Russian Academy of Sciences, 142190, Troitsk, Moscow, Russia bL. <...> D.Landau Institute for Theoretical Physics, Russian Academy of Sciences, 142432 Chernogolovka, Russia cUral Federal University, 620002 Ekaterinburg, Russia dDepartment of Theoretical Physics, Moscow Institute of Physics and Technology, 141700 Moscow, Russia eAll-Russia Research Institute of Automatics, 127055 Moscow, Russia Submitted 3 October 2016 DOI: 10.7868/S0370274X17040051 The basis of understanding glasses is the Sherrington–Kirkpatrick (SK) model [1]: the Ising model with random links. <...> A stable solution for SK model was obtained by Parisi [2, 3] with a full replica symmetry breaking (FRSB) scheme. <...> Later it was realised that replica symmetry is not abstract and academic question but it corresponds to formation of the specific hierarchy of basins in the energy landscape of the glass forming system. <...> A natural generalization of the SK model with pair interaction of spins is a model with p-spin interactions [3, 4]. <...> Unlike of the SK model, p-spin model has a stable first replica symmetry breaking (RSB) solution that arises abruptly. <...> Now there is a reborn of interest to spin models showing glassy behaviour [5–14]. <...> On the other hand, there is limited number of analytically solvable glassy models and each such model is interesting itself. <...> In one class of models FRSB occurs continuously at the transition point fromthe paramagnetic state to the glass state (like, e.g., in SK-model). <...> In 1)See Supplemental material for this paper on JETP Letters suit: www.jetpletters.ac.ru 2)e-mail: nms@itp.ac.ru Письма вЖЭТФ том 105 вып. 3 – 4 2017 217 this case there is a finite range of temperatures where stable 1RSB glass solution occurs. <...> It should be also noted that the two classes of models mentioned above distinguish essentially by their energy landscape [17], which is an important concept in the dynamics of liquids <...>