Soft supersymmetry breaking 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>2</mml:mn></mml:math> SCFT

A classification of soft supersymmetry breaking deformation of general 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>2</a:mn></a:math> superconformal field theory (SCFT) is provided. Given the large class of newly discovered <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>2</d:mn></d:math> SCFTs and their known properties such as the central charges and full information of BPS operators, it is possible to get a huge number of new <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>1</g:mn></g:math> SCFTs and nonsupersymmetric CFTs. Many properties of these new <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mi mathvariant="script">N</j:mi><j:mo>=</j:mo><j:mn>1</j:mn></j:math> SCFTs such as central charges, chiral spectrum and a duality can be derived from known information of parent <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi mathvariant="script">N</m:mi><m:mo>=</m:mo><m:mn>2</m:mn></m:math> SCFT.