On the classification of 5d SCFTs

Understand

We determine all 5d SCFTs upto rank three by studying RG flows of 5d KK theories.

• Our analysis reveals the existence of new rank one and rank two 5d SCFTs not captured by previous classifications.
• In addition to that, we provide for the first time a systematic and conjecturally complete classification of rank three 5d SCFTs.
• Our methods are based on a recently studied geometric description of 5d KK theories, thus demonstrating the utility of these geometric descriptions.