Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories

Details Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories

2011-04-05

arxiv.org/abs/1104.0783v4

Physics

High Energy Physics

High Energy Physics - Theory

73 pages, 7 figures. v2: references and clarifications added, misprints corrected. v3: more references, clarifications, and co

Scientific paper

In these lectures I give a pedagogical presentation of some of the recent progress in supersymmetric Chern-Simons-matter theories, coming from the use of localization and matrix model techniques. The goal is to provide a simple derivation of the exact interpolating function for the free energy of ABJM theory on the three-sphere, which implies in particular the N^{3/2} behavior at strong coupling. I explain in detail part of the background needed to understand this derivation, like holographic renormalization, localization of path integrals, and large N techniques in matrix models

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