Göttingen 2025 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 7: Quantum Field Theory I and Conformal Field Theory
MP 7.4: Vortrag
Mittwoch, 2. April 2025, 17:25–17:45, ZHG001
Number theoretic properties of two-dimensional conformal field theories — Hans Jockers1, Pyry Kuusela2, and •Maik Sarve3 — 1Johannes-Gutenberg Universität Mainz — 2Johannes-Gutenberg Universität Mainz — 3Johannes-Gutenberg Universität Mainz
Many two-dimensional conformal field theories with enhanced symmetry algebras, known as rational conformal field theories, are examples of non-trivial strongly interacting quantum field theories. These additional symmetries render the theories exactly solvable through algebraic methods. It is therefore a natural question to ask how these rational conformal field theories are distributed within the broader space of all two-dimensional conformal field theories. In this talk, I will demonstrate how number theoretic properties of rational conformal field theories can be used to formulate this distribution problem in a mathematically rigorous way and to provide novel insides.
Keywords: Conformal field theory; String theory; Number theory; Gepner models; Arithmetic geometry