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

Cremonesi, Stefano; Mekareeya, Noppadol; Zaffaroni, Alberto

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1366046
• Related Public URLs: arxiv.org/abs/arXiv:1607.05728