Novel color superconducting phases of N = 4 super Yang-Mills at strong coupling

We would like to thank Prem Kumar, Javier Tarrío, Aleksi Vuorinen, and Larry Yaffe for many useful discussions and comments on the draft version of this paper. O. H. and N. J. wish to thank Universidad de Oviedo for warm hospitality while this work was in progress. O. H. is supported by the Academy of Finland grant no 1297472 and a grant from the Ruth and Nils-Erik Stenb¨ack foundation. C. H. is supported by the Spanish grant MINECO-16-FPA2015-63667-P, the Ramon y Cajal fellowship RYC-2012-10370 and GRUPIN 18-174 research grant from Principado de Asturias. N. J. has been supported in part by the Academy of Finland grant no. 1322307.