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The Infrared Physics of Bad Theories

Assel, Benjamin; Cremonesi, Stefano

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Benjamin Assel


We study the complete moduli space of vacua of 3d N = 4 N=4 U ( N ) U(N) SQCD theories with N f Nf 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 ≤ N f ≤ 2 N − 2 N≤Nf≤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 R-symmetry in this symmetric vacuum.


Assel, B., & Cremonesi, S. (2017). The Infrared Physics of Bad Theories. SciPost Physics, 3(3), Article 024.

Journal Article Type Article
Acceptance Date Sep 8, 2017
Online Publication Date Sep 28, 2017
Publication Date Sep 28, 2017
Deposit Date Aug 2, 2017
Publicly Available Date Sep 29, 2017
Journal SciPost Physics.
Print ISSN 2542-4653
Publisher SciPost
Peer Reviewed Peer Reviewed
Volume 3
Issue 3
Article Number 024
Related Public URLs


Accepted Journal Article (709 Kb)

Copyright Statement
Copyright B. Assel and S. Cremonesi. This work is licensed under the Creative Commons Attribution 4.0 International License.

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