<p>We study large <i>N</i> phase transitions in <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27088_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 2 theories with gauge group SU(<i>N</i>) and massive hypermultiplets in diverse representations. Using supersymmetric localization we identify cases where phase transitions occur. In particular, we consider deformations of UV superconformal fixed points by giving two different masses to the fundamental hypermultiplets, and show that these theories undergo a third-order phase transition at a critical value of the ’t Hooft coupling. This provides the first example of a phase transition driven by a mass deformation of a <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27088_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 2 superconformal field theory. We also comment on integrated correlators in these theories.</p>

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More on phase transitions in \( \mathcal{N} \) = 2 massive gauge theories

  • Jeremías Aguilera-Damia,
  • Jorge G. Russo

摘要

We study large N phase transitions in N \( \mathcal{N} \) = 2 theories with gauge group SU(N) and massive hypermultiplets in diverse representations. Using supersymmetric localization we identify cases where phase transitions occur. In particular, we consider deformations of UV superconformal fixed points by giving two different masses to the fundamental hypermultiplets, and show that these theories undergo a third-order phase transition at a critical value of the ’t Hooft coupling. This provides the first example of a phase transition driven by a mass deformation of a N \( \mathcal{N} \) = 2 superconformal field theory. We also comment on integrated correlators in these theories.