|
Résumé |
We present a first-principles derivation of a weak-strong duality between the four-dimensional
fishnet theory in the planar limit and a discretized string-like model living in AdS5. At strong
coupling, the dual description becomes classical and we demonstrate explicitly the classical
integrability of the model. We test our results by reproducing the strong coupling limit of the
4-point correlator computed before non-perturbatively from the conformal partial wave
expansion. Next, by applying the canonical quantization procedure with constraints, we show
that the model describes a quantum integrable chain of particles propagating in AdS5. Finally,
we reveal a discrete reparametrization symmetry of the model and reproduce the spectrum
when known analytically. Due to the simplicity of our model, it could provide an ideal
playground for holography. Furthermore, since the fishnet model and N=4 SYM theory are
continuously linked our consideration could shed light on the derivation of AdS/CFT for the
latter. This talk is based on recent work with Nikolay Gromov. |
