Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
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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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Cited by 2 Pith papers
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Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
Sphere partition functions of 3d N=4 Chern-Simons-matter theories are conjectured to equal sums of twisted traces on Verma modules over quantized moduli stacks of vacua.
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Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
The sphere partition function of 3d N=4 Chern-Simons-matter theories is conjectured to equal a sum of twisted traces on Verma modules over the quantization of their moduli spaces of vacua, extending prior work and rev...
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