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PhD Student
The main goal of my research is to study the symmetries of the M-theory vacuum, specifically the geometries of the solution spaces of supergravity and gauge theories from the perspective of holographic principles, and to explore their applications in complex nonlinear problems of fundamental physics. The solution space of supergravity, as part of M-theory, contains its fundamental symmetries, known as U and T dualities. One representation of T duality in the solution space of supergravity is bivector Yang-Baxter deformations, which allow one to find, for any known symmetric solution of the supergravity equations, a family of new solutions with reduced symmetry, parameterized by a bivector on the Killing vectors of the initial solution. Moreover, using the holographic principle, it is possible to establish that they are dual to a certain family of superconformal field theories. This demonstrates that the fundamental symmetries of M-theory have an image in the space of gauge field theories and can serve as a tool for studying its geometry. In the future, this could allow, for example, to learn how to express the results of computationally difficult conformal theories through simpler models. Despite the deep elaboration of these constructions in existing works, there are still unresolved questions about the limits of their applicability, the study of which is the topic of my current research. Moreover, an important and, in many ways, central goal of my work is to find a correct generalization of this construction to the case of U-duality, the study of which is reflected in my papers.
Selected publications:
- Kirill Gubarev, Edvard T. Musaev, Timophey Petrov "Polyvector deformations of Type IIB backgrounds". 2408.05004 [hep-th]. DOI: 10.1140/epjc/s10052-024-13402-4
- Edvard T. Musaev, Timophey Petrov "Tri-vector deformations on compact isometries". 2302.08749 [hep-th]. DOI: 10.1140/epjc/s10052-023-11569-w
