The discovery of a duality between Anti-de Sitter spaces (AdS) and
Conformal Field Theories (CFT) has led to major advances in our
understanding of quantum field theory and quantum gravity. String
theory methods and AdS/CFT correspondence maps provide new ways to
think about difficult condensed matter problems. String theory
methods based on the AdS/CFT correspondence allow us to transform
problems so they have weak interactions and can be solved more
easily. They can also help map problems to different descriptions,
for instance mapping the description of a fluid using the
Navier-Stokes equations to the description of an event horizon of a
black hole using Einstein's equations. This textbook covers the
applications of string theory methods and the mathematics of
AdS/CFT to areas of condensed matter physics. Bridging the gap
between string theory and condensed matter, this is a valuable
textbook for students and researchers in both fields.
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