Bootstrapping traceless symmetric $O(N)$ scalars

Understand

We use numerical bootstrap techniques to study correlation functions of traceless symmetric tensors of $O(N)$ with two indexes $t_{ij}$.

• We obtain upper bounds on operator dimensions for all the relevant representations and several values of $N$.
• We discover several families of kinks, which do not correspond to any known model and we discuss possible candidates.
• We then specialize to the case $N=4$, which has been conjectured to describe a phase transition in the antiferromagnetic real projective model ARP$^{3}$.