Marginally deformed Schrödinger/dipole CFT correspondence

A bstract We construct and thoroughly study a new integrable example of the AdS/CFT correspondence with Schrödinger symmetry. On gravity side, supergravity solution depends on two parameters is obtained by marginally deforming internal space background through series TsT transformations. field theory we identify dual which also parameters. find point-like string derive its dispersion relation. By using Landau-Lifshitz coherent state Lagrangian, originates from theory, reproduce leading, in deformation parameters, terms prediction. This constitutes non-trivial test correspondence. Then, calculate Wilson loop, describing quark/anti-quark potential at strong coupling. It exhibits confining behaviour when separation length much less than parameter. When greater parameter that conformal theory. Subsequently, take Penrose limit along certain null geodesic constructed bosonic spectrum. Based spectrum, make an educated guess for exact, ’t Hooft coupling, relation magnon excitations original doubly deformed background. provides us exact prediction dimensions operators. applies to operators large length, finite size corrections are suppressed.