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The present course is devoted to modern approaches and techniques which are applied for study of quantum theory of gravity, circumventing the widely known issues with renormalizability and background dependence. The general idea of these methods is the interpretation of the functional integral in the approximate sense as a sum over manifolds, which satisfy given boundary conditions. In the context of these boundary conditions quantum gravity is studied by virtue of transferring the formal constructions from well-defined quantum field theories via the holographic principle mechanisms. The goal of the present lectures is to demonstrate the effectiveness of this approach on the example of the black hole information problem and selected aspects of structure of the quantum gravity state space. Throughout the course the key results will be explained, which were obtained by the leading world research groups in the last ten years.
Students are required to know quantum field theory (first term minimum, understanding of the renormalization theory is optional but helpful for context), general relativity, differential geometry and Gaussian matrix integrals.
 RSS: Forthcoming seminars
 Lecturer
Khramtsov Mikhail Alexandrovich
Organizations
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
