A note on dualities of F(4) type 3d $$ \mathcal{N} $$ = 5 SCFTs

A bstract We suggest a new duality between a pair of 3d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 5 SCFTs, one of ABJ type and one based on the exceptional superalgebra F (4). Our main evidence for the proposed duality is the matching of the superconformal index. In addition to the intrinsic interest in dualities between strongly coupled field theories, the result can also be useful in the classification of 3d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 5 SCFTs.