Intrinsically non-blocking shrink sleeve material

A polymer composition comprising components (a), (b), and (c):

• a) 45 to 100 wt.-% of component a) consisting of:
• a1) 20 to 80 wt.-% of at least one star-shaped block copolymer A1 having:
• two short branches consisting of a single copolymer block (B/S)Ai made from 65 to 95 wt.-% vinylaromatic monomers and 35 to 5 wt.-% dienes and having a glass transition temperature TgA in the range from 40 to 90° C., and
• two long branches of the structure St—[(B/S)A]n-(B/S)Ai or [(B/S)A]n-(B/S)Ai, linked (to one another via a coupling agent) by way of the inner blocks (B/S)Ai, where the block St is made from 95 to 100 wt.-% of vinylaromatic monomers and 0 to 5 wt.-% of dienes;
• the block [(B/S)A]n consists of one or more different or identical copolymer blocks (B/S)A, each made from 65 to 95 wt.-% vinylaromatic monomers and 35 to 5 wt.-% dienes and have a glass transition temperature TgAin the range from 40 to 90° C.;
• n is a regular number of at least 1, and the block (B/S)Ai is as defined above, wherein the block (B/S)Ai has a number average molar mass Mn in the range of from 5000 to 15000 g/mol and the entire block [(B/S)A]n has a number average molar mass Mn of 50000 to 150000 g/mol;
• and
• a2) 80 to 20 wt.-% of at least one star-shaped block copolymer A2, which has two short branches of structure Se—(B/S)B and two long branches of structure (B/S)Ae-Si—(B/S)B, linked (to one another via a coupling agent) by way of the blocks (B/S)B,
• wherein the polymer blocks Se and Si are identical;
• the polymer blocks Se and Si are made from 95 to 100 wt.-% of vinylaromatic monomers and of from 0 to 5 wt.-% of dienes;
• the copolymer block (B/S)Ae is made from 65 to 95 wt.-% vinylaromatic monomers and 35 to 5 wt.-% dienes and has a glass transition temperature TgA in the range from 40 to 90° C.;
• and the homo- or copolymer blocks (B/S)B are each made from 0 to 25 wt.-%, vinylaromatic monomers, and 100 to 75 wt.-%, dienes and have a glass transition temperature TgB in the range from −90° to −60° C.;
• b) 0 to 55 wt.-% of at least one further thermoplastic polymer TP other than block copolymers A1 and A2;
• and
• c) 0 to 5 wt.-% of at least one additive or processing aid;
• where the total amount of components (a) and, if appropriate, (b) and/or (c) is 100% by weight, based on the entire polymer composition, and the glass transition temperature Tg is determined by DSC based on DIN EN ISO 11357-2:2014-07.