How to remove author name from links ?

Hello,

Thank you for contacting Rank Math and bringing your concern to our attention. I’m sorry for any inconvenience this issue may have caused you.

You can use this filter to remove the author details from the Schema:

add_filter( 'rank_math/json_ld', function( $data, $jsonld ) {
	unset( $data['ProfilePage'] );	
	return $data;
}, 99, 2);

And here is a guide you can follow to add the filter to your site:
https://rankmath.com/kb/wordpress-hooks-actions-filters/#functions-php-file

Once done, clear your website’s cache and check again.

I hope that helps.

Thank you.