Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
Abstract
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
Keywords
Cite
@article{arxiv.1104.0783,
title = {Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories},
author = {Marcos Marino},
journal= {arXiv preprint arXiv:1104.0783},
year = {2015}
}
Comments
73 pages, 7 figures. v2: references and clarifications added, misprints corrected. v3: more references, clarifications, and corrections. v4: more corrections and clarifications, final version to appear in J. Phys. A