Polymeric polymerization initiator and method for producing polymeric polymerization initiator

A polymeric polymerization initiator represented by the following general formula (I):

• M1aM2bD1cD2dT1eT2fQg (I)
• M1=R13SiO1/2
• M2=R12R2SiO1/2
• D1=R12SiO2/2
• D2=R1R2SiO2/2
• T1=R1SiO3/2
• T2=R2SiO3/2
• Q=SiO4/2
• wherein in the general formula (I),
• R1 each independently represents a hydrogen atom, a substituted or unsubstituted alkyl group having 1 to 10 carbon atoms, or a substituted or unsubstituted aryl group having 6 to 22 carbon atoms;
• R2 represents a group having a ketene silyl acetal structure represented by the following general formula (II):
• wherein in the general formula (II),
• A represents a single bond or a divalent organic group,
• R3 each independently represents a hydrogen atom or a substituted or unsubstituted alkyl group having 1 to 4 carbon atoms, and
• R4 each independently represents a substituted or unsubstituted alkyl group having 1 to 4 carbon atoms,
• “a”, “c”, “d”, “e”, “f”, and “g” represent 0 or a positive integer and “b” represents 0 where b+d+f≥1;
• the polymerization initiator represented by the general formula (I) has a number-average molecular weight of 2,000 to 1,000,000 g/mol;
• and
• an order of bonding of siloxane units represented by M1, D1, M2, D2, T1, T2, and Q is optionally determined.