Copyright for abstract
If the publisher now holds the copyright, they would have to provide the permission to reproduce it. The "law [that] protects such right" that you referred to in your comment is copyright law.

The publisher can explicitly allow everybody to replicate the work, e.g. through a Creative Commons license (although this often includes the clause to also reproduce the license information), or by a general waiver on their site. So you'd have to look for something like that at your publisher's website, and otherwise you might want to notify them of the reproduction - assuming you don't agree with it.

(Do consider that more publicity for your work might not be a bad thing.)