Speaker
Description
The investigation of theories with a deep connection to experimental physics, such as supersymmetric gauge theories (SUSY QFT) or theories of strongly correlated systems, is of great interest to modern science. One of the most promising and fundamental tools for studying these theories in modern theoretical physics is string theory, thanks to a large number of discoveries made in it. One notable example is the AdS/CFT correspondence, which has provided the opportunity to creation of various methods for studying gauge field theories. Among them, solution-generating methods are particularly useful, allowing the exploration of the properties of gauge field theory families, the generation of new gauge field theories, and obtaining information about non-Lagrangian operators by utilizing the geometric properties of supergravity solutions, which is the low-energy limit of string theory. One such method is the Yang-Baxter deformation technique. Its essence lies in mapping of a special nonlinear transformation, given by a family of solutions of the supergravity equations, onto the space of gauge field theories by using of the AdS/CFT correspondence. By doing so, a family of field theories with properties determined by the specified nonlinear transformation is obtained. This transformation is referred to as the Yang-Baxter deformation of supergravity solutions and arises from the hidden symmetries of the supergravity equations. It is parameterized by a known (seed) solution of the supergravity equations and a polyvector constructed from the Killing vectors of the seed solution. Previously, this formalism could only be constructed for solutions with Abelian isometries, significantly limiting the application of holographic mapping and leading to the discovery of only supersymmetric manifolds of conformal theories. However, an extension of this method has been developed for the case of seed solutions with non-Abelian isometries. Thanks to this extension, utilizing the AdS/CFT correspondence, it has been possible to demonstrate the existence of a new non-supersymmetric conformal manifold and its position in the space of gauge field theories.
