# Twin conformal field theories

## TL;DR

This paper demonstrates the existence of twin super conformal field theories with identical bosonic sectors but different fermionic content, supported by multiple theoretical approaches including S-folds, double-copy constructions, and holography.

## Contribution

It extends the concept of twin theories from supergravity to super conformal field theories, providing new examples and evidence from diverse theoretical frameworks.

## Key findings

- Existence of twin super conformal field theories in 4D.
- Construction of twin theories via S-folds and double-copy methods.
- Identification of candidate twin holographic duals.

## 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.