Abstract
We present the first-principles derivation of a weak-strong duality between the fishnet theory in four dimensions and a discretized stringlike model living in five dimensions. 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 four-point correlator computed before nonperturbatively from the conformal partial wave expansion. Because of the extreme simplicity of our model, it could provide an ideal playground for holography with no supersymmetry. Furthermore, since the fishnet model and N=4 super Yang-Mills theory are continuously linked, our consideration could shed light on the derivation of AdS/CFT for the latter. For simplicity, in this Letter we restrict our considerations to a large subset of all states.
Highlights
Mathematics Department, Kingâs College London, The Strand, London WC2R 2LS, United Kingdom and St
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 four-point correlator computed before nonperturbatively from the conformal partial wave expansion
Summary
Mathematics Department, Kingâs College London, The Strand, London WC2R 2LS, United Kingdom and St. The idea that some (or any?) strongly coupled quantum system with many degrees of freedom should have an alternative dual description in terms of the gravity or string theory in a higher dimensional spacetime is becoming more and more popular. Despite this enormous attention the holographic principle has received in the last two decades, we are still lacking the first-principles derivation of it. MR orePprecisely the dual model action functional Sdual 1â4 Ο dt iLi, is given in terms of the Lagrangian density
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