| Article | |
| Report number | CERN-TH-2017-147 ; arXiv:1707.03403 |
| Title | The Infrared Physics of Bad Theories |
| Related title | The Infrared Physics of Bad Theories |
| Author(s) | Assel, Benjamin (CERN) ; Cremonesi, Stefano (Durham U., Dept. of Math.) |
| Publication | 2017-09-28 |
| Imprint | 2017-07-11 |
| Number of pages | 48 |
| Note | 40 pages + appendices; v2: reference added, massive vacua discussed in section 4.4; v3: imprecision corrected in section 2.4 |
| In: | SciPost Phys. 3 (2017) 024 |
| DOI | 10.21468/SciPostPhys.3.3.024 |
| Subject category | hep-th ; Particle Physics - Theory |
| Abstract | We study the complete moduli space of vacua of 3d $\mathcal{N}=4$ $U(N)$ SQCD theories with $N_f$ fundamentals, building on the algebraic description of the Coulomb branch, and deduce the low energy physics in any vacuum from the local geometry of the moduli space. We confirm previous claims for good and ugly SQCD theories, and show that bad theories flow to the same interacting fixed points as good theories with additional free twisted hypermultiplets. A Seiberg-like duality proposed for bad theories with $N \le N_f \le 2N-2$ is ruled out: the spaces of vacua of the putative dual theories are different. However such bad theories have a distinguished vacuum, which preserves all the global symmetries, whose infrared physics is that of the proposed dual. We finally explain previous results on sphere partition functions and elucidate the relation between the UV and IR $R$-symmetry in this symmetric vacuum. |
| Copyright/License | arXiv nonexclusive-distrib. 1.0 |
Corresponding record in: Inspire
Record created 2017-07-13, last modified 2021-05-03
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