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• W3121808433 abstract "We study the complete moduli space of vacua of 3d mathcal{N}=4 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mstyle mathvariant=script><mml:mi>𝒩</mml:mi></mml:mstyle><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:math> U(N) <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>U</mml:mi><mml:mo stretchy=false form=prefix>(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy=false form=postfix>)</mml:mo></mml:mrow></mml:math> SQCD theories with N_f <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>N</mml:mi><mml:mi>f</mml:mi></mml:msub></mml:math> 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 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>N</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn>2</mml:mn><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> 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 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>R</mml:mi></mml:math> -symmetry in this symmetric vacuum." @default.
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• W3121808433 date "2017-09-28" @default.
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• W3121808433 title "The Infrared Physics of Bad Theories" @default.
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• W3121808433 doi "https://doi.org/10.21468/scipostphys.3.3.024" @default.
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