| Article | |
| Report number | arXiv:1910.01650 |
| Title | Quantized Coulomb Branches, Monopole Bubbling and Wall-Crossing Phenomena in 3d $\mathcal{N}=4$ Theories |
| Author(s) | Assel, Benjamin (CERN) ; Cremonesi, Stefano (Durham U., Dept. of Math.) ; Renwick, Matthew (Durham U., Dept. of Math.) |
| Publication | 2020-04-30 |
| Imprint | 2019-10-03 |
| Number of pages | 71 |
| Note | 71 pages + appendices, 16 figures. v2: typos corrected, references added, minor changes in section 4.2.1. v3: section 4.2 added, references added, to appear in JHEP |
| In: | JHEP 2004 (2020) 213 |
| DOI | 10.1007/JHEP04(2020)213 |
| Subject category | hep-th ; Particle Physics - Theory |
| Abstract | To study the quantized Coulomb branch of 3d $\mathcal{N}=4$ unitary SQCD theories, we propose a new method to compute correlators of monopole and Casimir operators that are inserted in the $\mathbb{R}\times\mathbb{R}^2_\epsilon$ Omega background. This method combines results from supersymmetric localization with inputs from the brane realisation of the correlators in type IIB string theory. The main challenge is the computation of the partition functions of certain Super-Matrix-Models (SMMs), which appear in the contribution of monopole bubbling sectors and are realised as the theory living on the D1 strings in the brane construction. We find that the non-commutativity arising in the monopole operator insertions is related to a wall-crossing phenomenon in the FI parameter space of the SMM. We illustrate our method in various examples and we provide explicit results for arbitrary correlators of non-bubbling bare monopole operators. We also discuss the realisation of the non-commutative product as a Moyal (star) product and use it to successfully test our results. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2020-2025 The Authors (License: CC-BY-4.0), sponsored by SCOAP³ |
Corresponding record in: Inspire
Record created 2019-10-22, last modified 2025-07-17
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