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Even in an incomplete state, quantum field theory is the most successful physical theory ever discovered. Nathan Seiberg, one of its leading architects, talks about the gaps in QFT and how mathematicians could fill them.
In three towering papers, a team of mathematicians has worked out the details of Liouville quantum field theory, a two-dimensional model of quantum gravity.
The accelerating effort to understand the mathematics of quantum field theory will have profound consequences for both math and physics.
Renormalization has become perhaps the single most important advance in theoretical physics in 50 years.
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