Objective This project aims to formulate the full solution to the spectral problem of the planar AdS/CFT correspondence. This will be achieved in three steps. Firstly, I will subject the recently proposed set of spectral equations (TBA equations) for the planar AdS/CFT correspondence to extensive tests and, if necessary, modify them. Secondly, I will develop new powerful tools to facilitate the computation of the energies/dimensions of the physical states from the TBA equations. This should also give a handle on the origin of the underlying integrable structures. Finally, I will attempt to motivate the spectral equations for each of the constituent theories separately. This will furnish a proof of the planar AdS/CFT correspondence as far as the spectral problem is concerned and is expected to provide a profound insight into the dynamical degrees of freedom of the gauge and string theories. The proposed research will significantly advance the state-of-the-art of the AdS/CFT correspondence and of exactly solvable quantum field theories. Fields of science natural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesphysical sciencestheoretical physicsstring theory Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-2010-IOF - Marie Curie Action: "International Outgoing Fellowships for Career Development" Call for proposal FP7-PEOPLE-2010-IOF See other projects for this call Funding Scheme MC-IOF - International Outgoing Fellowships (IOF) Coordinator CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Address Rue michel ange 3 75794 Paris France See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Administrative Contact Ludovic Hamon (Mr.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data