PřF News 05/10/2024

The Department of Mathematics received the GA CR: Uncovering the Secrets of Supersymmetry

On the threshold of new discoveries in the field of quantum physics and mathematics, the Faculty of Science of the University of Hradec Králové has received a prestigious grant. Funding provided by the Grant Agency of the Czech Republic will enable scientists from the Department of Mathematics to deepen their research in one of the most interesting and mysterious branches of modern science – supersymmetry.

Oleksii Kotov Ph.D. from the Department of Mathematics of the Faculty of Science of the University of Hradec Králové has received an international grant from the Grant Agency of the Czech Republic for a project focused on the study of supersymmetry and its applications in mathematics and physics. This project represents a significant step in the field of theoretical physics and opens up new possibilities for understanding the fundamental principles of the universe.

Supersymmetry is an advanced theoretical concept that postulates the existence of a superpartner for every particle known in the standard model of physics. This idea offers a potential framework for unifying physical forces, which is a key to a deeper understanding of how the universe works at its most fundamental level.

As part of the project, the team of scientists from the Department of Mathematics focuses on graded supermanifolds that are the elementary building blocks for mathematical modeling of supersymmetric theories. The goal is to develop new mathematical methods that will enable a more detailed study and application of these structures in practical and theoretical aspects of physics.

The project also represents a significant international cooperation, as the Department of Mathematics cooperates with the Institute of Mathematics of the Polish Academy of Sciences in Warsaw and the Czech Technical University in Prague. This cooperation enables sharing experience and expertise, and this way it increases the chances to achieve the set project goals.

The project aims to develop a theoretical basis for solving still open questions in the analysis, geometry and other areas of physics, which seems to be essential for the progress in the field. The results of this research will be presented in professional journals, thereby contributing to the development of the scientific community and strengthening the position of the Faculty of Science of the University of Hradec Králové in the international field of scientific research.