Twin conformal field theories

Abstract

Supersymmetric theories with the same bosonic content but different fermions, aka \emph{twins}, were thought to exist only for supergravity. Here we show that pairs of super conformal field theories, for example exotic $\mathcal{N}=3$ and $\mathcal{N}=1$ theories in $D=4$ spacetime 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.

arXiv comment28 pages. Updated to match published version. References and brief comments added

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Cited by in corpus (9)

• Double Copy from Homotopy Algebras
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• 4d $\mathcal{N}=2$ S-folds
• Gauge $\times$ Gauge on Spheres
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
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• Local supertwistors and conformal supergravity in six dimensions
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• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV