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Résumé |
I will show that there is a wide class of integrable sigma models that are
exactly and explicitly equivalent to bosonic/fermionic Gross-Neveu (GN) models.
These include the familiar CP^n, Grassmannian or flag manifold sigma models. In
the SUSY case the counterpart of the CP^n sigma model is the `level-zero' GN
model. In particular, beta functions of the two theories should agree, and I
will discuss the calculation of the GN beta function up to four loops.
This is mostly a review talk based on arXiv:2006.14124, 2009.04608, 2101.11638,
2106.15598, 2202.12805, 2209.10502. |
