Dr Stefano Cremonesi stefano.cremonesi@durham.ac.uk
Associate Professor
The moduli spaces of 3d N≥2 Chern-Simons gauge theories and their Hilbert series
Cremonesi, Stefano; Mekareeya, Noppadol; Zaffaroni, Alberto
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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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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