Landscape of 4d <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> SCFTs with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" displ

We study a landscape of four-dimensional <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi mathvariant="script">N</a:mi><a:mo>=</a:mo><a:mn>1</a:mn></a:math> superconformal field theories (SCFTs) with identical central charges. These theories are obtained by renormalization group flows triggered by supersymmetry-preserving superpotential deformations of the <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mi mathvariant="script">N</d:mi><d:mo>=</d:mo><d:mn>1</d:mn></d:math> gauging of the flavor symmetry of a collection of <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi mathvariant="script">N</g:mi><g:mo>=</g:mo><g:mn>2</g:mn></g:math> <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msub><j:mi mathvariant="script">D</j:mi><j:mi>p</j:mi></j:msub><j:mo stretchy="false">(</j:mo><j:mi>G</j:mi><j:mo stretchy="false">)</j:mo></j:math> Argyres-Douglas SCFTs. In this work, we focus on the fixed points in the landscape of the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>S</o:mi><o:mi>U</o:mi><o:mo stretchy="false">(</o:mo><o:mn>3</o:mn><o:mo stretchy="false">)</o:mo></o:math> gauging of three copies of the <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:msub><s:mi mathvariant="script">D</s:mi><s:mn>2</s:mn></s:msub><s:mo stretchy="false">(</s:mo><s:mi>S</s:mi><s:mi>U</s:mi><s:mo stretchy="false">(</s:mo><s:mn>3</s:mn><s:mo stretchy="false">)</s:mo><s:mo stretchy="false">)</s:mo><s:mo>=</s:mo><s:msub><s:mi>H</s:mi><s:mn>2</s:mn></s:msub></s:math> theory together with an adjoint-valued chiral multiplet. We catalog the network of <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:mi>a</z:mi><z:mo>=</z:mo><z:mi>c</z:mi></z:math> fixed points, and, along the way, we find a variety of dualities and instances of supersymmetry enhancement.