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Scientific article
English

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

Published inJournal of physics. A, Mathematical and theoretical, vol. 44, no. 46, 463001
Publication date2011
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 N3/2 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.

Citation (ISO format)
MARINO BEIRAS, Marcos. Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories. In: Journal of physics. A, Mathematical and theoretical, 2011, vol. 44, n° 46, p. 463001. doi: 10.1088/1751-8113/44/46/463001
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ISSN of the journal1751-8113
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