Topical authority is the strength of your website's expertise in a specific subject area, as judged by search engines and AI engines. A site with twenty interconnected pages on a single topic has high authority on that topic. A site with one page on each of twenty different topics has shallow authority on all of them.
AI engines reward depth heavily. When choosing a source to cite, they prefer the site that clearly knows the subject inside out over a generalist that touches the topic briefly.