SMuK 2023 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Scattering Amplitudes and Conformal Field Theory

MP 5.5: Vortrag

Dienstag, 21. März 2023, 17:40–18:00, ZEU/0250

Torus Conformal Blocks of 2D Conformal Field Theories — •Jakob Hollweck — Theoretisch-Physikalisches Institut, Jena, Germany

We compute higher point sl(2,R) conformal blocks on different topologies like the sphere and the torus. The usual methods, like the direct use of the Casimir equations, shadow operator representations, or successive use of the operator product expansion, quickly become complicated for higher point conformal blocks. The use of oscillator representations reproduces the known results and promises further insights, like the computation of (semi-classical) Virasoro conformal blocks, or conformal blocks in higher dimensions than two, which have recently spiked in interest.