String Theory Journal Club
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Miłosz Panfil (IFT UW)
O(n) models and category theory
We can view O(n) models, with n real, as an analytic continuation of O(N) models to non-integer values of N. This approach yields correct predictions, however it does not answer what O(n) symmetry actually is. I will discuss how the authors of [1] use category theory to answer this question. [1] D. J. Binder and S. Rychkov, "Deligne Categories in Lattice Models and Quantum Field Theory, or Making Sense of O(N) Symmetry with Non-integer N", https://arxiv.org/abs/1911.07895. Link: meet.google.com/gbj-tmns-err