Twin conformal field theories

A bstract Supersymmetric theories with the same bosonic content but different fermions, aka twins , were thought to exist only for supergravity. Here we show that pairs of super conformal field theories, for example exotic $$ \mathcal{N} $$ N = 3 and $$ \mathcal{N} $$ N = 1 theories in D = 4 space-time dimensions, can also be twin. We provide evidence from three different perspectives: (i) a twin S-fold construction, (ii) a double-copy argument and (iii) by identifying candidate twin holographically dual gauged supergravity theories. Furthermore, twin W-supergravity theories then follow by applying the double-copy prescription to exotic super conformal field theories.

Abstract licence: CC BY

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