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

Cremonesi, Stefano; Mekareeya, Noppadol; Zaffaroni, Alberto

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


Authors

Noppadol Mekareeya

Alberto Zaffaroni



Abstract

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.

Citation

Cremonesi, S., Mekareeya, N., & Zaffaroni, A. (2016). The moduli spaces of 3d N≥2 Chern-Simons gauge theories and their Hilbert series. Journal of High Energy Physics, 2016(10), Article 046. https://doi.org/10.1007/jhep10%282016%29046

Journal Article Type Article
Acceptance Date Oct 3, 2016
Online Publication Date Oct 10, 2016
Publication Date Oct 10, 2016
Deposit Date Feb 2, 2017
Publicly Available Date Feb 21, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2016
Issue 10
Article Number 046
DOI https://doi.org/10.1007/jhep10%282016%29046
Related Public URLs arxiv.org/abs/arXiv:1607.05728

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.





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