On the classification of 5d SCFTs

Abstract

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. It is straightforward, though computationally intensive, to extend this work and systematically classify 5d SCFTs of higher ranks (greater than or equal to four) by using the geometric description of 5d KK theories.

86 pages, v2: References added, v3: Equation references corrected, published version

References in corpus (4)

• On Geometric Classification of 5d SCFTs
• 5d Superconformal Field Theories and Graphs
• Twisted Circle Compactifications of 6d SCFTs
• Revisiting the classifications of 6d SCFTs and LSTs

Cited by in corpus (5)

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• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Compactifying 5d superconformal field theories to 3d
• Magnetic quivers from brane webs with O7${}^{+}$-planes