Speaker
Description
Maximally supersymmetric Yang-Mills theory (SYM) in four dimensions is famously integrable, and AdS/CFT dual to the AdS5 superstring. The latter string admits a varied landscape of integrable Yang-Baxter deformations, which are conjectured to correspond to certain noncommutative deformations of SYM on the field theory side. Recently a large number of these twist-noncommutative deformations of SYM were explicitly constructed, making it possible to investigate their integrability, and ultimately perform precision tests of holography in this novel setting. I will consider deformations based on Cartan generators, where restricting to R symmetry gives the famous real beta deformation of SYM, but adding in Lorentz generators we get interesting new models. The simplest of these is an angular dipole deformation of SYM, which admits a class of gauge invariant operators whose two-point functions can be determined from a twisted integrable spin chain, at least as long as we restrict ourselves to the spacetime plane not touched by the deformation. This twisted structure precisely matches the one known for the conjectured dual string, providing a strong check of the conjectured duality. I will then discuss how integrable spin chains may be realized when considering operators at general positions in angular dipole deformed SYM, and comment on attempts to extrapolate this story to the analogous fully spacetime-noncommutative Lorentz deformation.
