Discrete gauging of 6D SCFTs and wreathed 3D <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>4</mml:mn></mml:math> quivers

We study the Higgs branch moduli space of certain 6D (1, 0) superconformal field theories (SCFTs) after gauging their <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="double-struck">Z</a:mi><a:mn>2</a:mn></a:msub></a:math> Green-Schwarz automorphism. We explain how to read the flavor symmetry of such SCFTs directly from the 6D construction, and we confirm the expectation by computing the Coulomb branch Hilbert series of their <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msub><d:mi mathvariant="double-struck">Z</d:mi><d:mn>2</d:mn></d:msub></d:math>-wreathed 3d <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>4</g:mn></g:math> magnetic quiver. To perform the latter computation, we explicitly introduce a methodology to determine such Hilbert series for <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msub><j:mi mathvariant="double-struck">Z</j:mi><j:mn>2</j:mn></j:msub></j:math>-wreathed orthosymplectic quivers.