Speaker
Enrico Olivucci
Description
In the case of either BMN operators or for insertion of magnons, the two-point functions of Fishnet theory are completely described by Integrable transfer matrices of a conformal Heisenberg magnet, in any spacetime dimension. On the other hand, the operator Tr(XY^{\dagger})^L lacks so far a description in terms of spin-chain integrability. I will illustrate this example starting from the 2D Fishnet case, arguing for a description of the Tr(XY^{\dagger})^L sector in terms of staggered spin-magnets and two-row Sklyanin transfer matrices whose integrability - ultimately based on the star-triangle identity - is realized by a Reflection Algebra instead of the quantum Yang-Baxter Equation.
