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This book introduces, in an elementary way, the idea of the anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space time to a strongly coupled d-dimensional quantum field theory living on its boundary. The AdS/CFT correspondence can be used to study finite temperature real time processes, such as response functions and dynamics far from equilibrium in quantum critical points in condensed matter systems. Computation of these quantities is reduced to solving classical gravitational equations in one higher dimension than the original theory.
Antonio Sergio Teixeira Pires is a Professor of Physics in the Department of Physics at the Universidade Federal de Minas Gerais, Belo Horizonte, Brazil. He received his PhD in Physics from University of California in Santa Barbara in 1976. He works in techniques of quantum field theory applied to condensed matter. He is a member of the Brazilian Academy of Science, was an Editor of the Brazilian Journal of Physics and currently is a member of the Advisory Board of the Journal of Condensed Matter Physics.