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Bi-scalar integrable CFT at any dimension · Around

2018

Bi-scalar integrable CFT at any dimension

Kazakov, Vladimir, Olivucci, Enrico

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We propose a $D$-dimensional generalization of $4D$ bi-scalar conformal quantum field theory recently introduced by G\"{u}rdogan and one of the authors as a strong-twist double scaling limit of $\gamma$-deformed $\mathcal{N}=4$ SYM theory.

Similarly to the $4D$ case, this D-dimensional CFT is also dominated by "fishnet" Feynman graphs and is integrable in the planar limit.
The dynamics of these graphs is described by the integrable conformal $SO(D+1,1)$ spin chain.
In $2D$ it is the analogue of L.

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