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

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Published in Journal of Physics. A, Mathematical and Theoretical. 2011, vol. 44, no. 46, p. 463001
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.
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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. https://archive-ouverte.unige.ch/unige:34932

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Deposited on : 2014-03-24

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