WordNet records no synonym and no antonym for hotbed. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a situation that is ideal for rapid development (especially of something bad)
“it was a hotbed of vice”
a bed of earth covered with glass and heated by rotting manure to promote the growth of plants
Synonyms, antonyms and the broader and narrower relations for hotbed come from Princeton University’s WordNet. Full sources and licences.