We present a formula for the Hilbert series that counts gauge invariant chiral operators in a large class of 3d N≥ 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≥ 2 and N≥ 3 supersymmetry.

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) [10.1007/JHEP10(2016)046].

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

ZAFFARONI, ALBERTO
2016

Abstract

We present a formula for the Hilbert series that counts gauge invariant chiral operators in a large class of 3d N≥ 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≥ 2 and N≥ 3 supersymmetry.
Articolo in rivista - Articolo scientifico
Duality in Gauge Field Theories; Supersymmetric gauge theory; Supersymmetry and Duality;
English
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) [10.1007/JHEP10(2016)046].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/151420
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