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The moduli spaces of 3dN≥2N≥2 Chern-Simons gauge theories and their Hilbert series.

Cremonesi, Stefano and Mekareeya, Noppadol and Zaffaroni, Alberto (2016) 'The moduli spaces of 3dN≥2N≥2 Chern-Simons gauge theories and their Hilbert series.', Journal of high energy physics., 2016 (10). 046.


We present a formula for the Hilbert series that counts gauge invariant chiral operators in a large class of 3d N≥2N≥2 Yang-Mills-Chern-Simons theories. The formula counts ’t Hooft monopole operators dressed by gauge invariants of a residual gauge theory of massless fields in the monopole background. We provide a general formula for the case of abelian theories, where nonperturbative corrections are absent, and consider a few examples of nonabelian theories where nonperturbative corrections are well understood. We also analyze in detail nonabelian ABJ(M) theories as well as worldvolume theories of M2-branes probing Calabi-Yau fourfold and hyperKähler twofold singularities with N≥2N≥2 and N≥3N≥3 supersymmetry.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:03 October 2016
Date deposited:21 February 2017
Date of first online publication:10 October 2016
Date first made open access:No date available

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