Objective The goal of this project is to invent new mathematical and physical methods of integrable systems and use them to compute the non-local observables of gauge theory and string theory exactly with respect to the coupling constant. It is believed that a special type of gauge theory and string theory are two equivalent descriptions of the same physical phenomena. This idea is called the Gauge/String Duality or AdS/CFT correspondence. This research thereby tests the AdS/CFT correspondence via the exact computation of non-local objects based on integrability methods.The integrability method called the Thermodynamic Bethe Ansatz (TBA) equations is the basis of our method. This set of equations is expected to give the spectrum of the conformal dimension of local operators in N=4 supersymmetric Yang-Mills theory, and the energy of closed string states on the AdS_5 x S^5 space-time, for any operators/states and at any value of the coupling constant. This project aims at generalizing this powerful formulation, and developing novel methods to solve nonlinear integral equations of TBA-type in analytic and numerical manners.The theory of integrable systems has rich mathematical structure, and is one of the major research fields in the modern mathematical physics. The integrable systems have a long history of its own since the discovery of quantum mechanics, and their exact solutions have provided important physical insights with the researchers of low-dimensional lattice models, quantum field theories, string theory and the AdS/CFT correspondence.The applicant will undertake the research at the Mathematical Institute in Oxford under the supervision of Prof. Luis-Fernando Alday. The applicant will also participate in the Oxford String Theory Group, which is one of the largest string theory research groups in UK with 9 faculty members from the Mathematical Institute and the Rudolf Peierls Centre for Theoretical Physics. Fields of science humanitieshistory and archaeologyhistorynatural sciencesmathematicsapplied mathematicsmathematical physicsnatural 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-2012-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Call for proposal FP7-PEOPLE-2012-IEF See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD EU contribution € 221 606,40 Address WELLINGTON SQUARE UNIVERSITY OFFICES OX1 2JD Oxford United Kingdom See on map Region South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire Activity type Higher or Secondary Education Establishments Administrative Contact Gill Wells (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
