2–6 Sept 2024
Bethe Center
Europe/Berlin timezone

Supersymmetric diagrams and the dynamical fishnet

6 Sept 2024, 09:30
1h
Wegelerstr. 10 - Seminar Room 2.019 - 53115 Bonn (Bethe Center)

Wegelerstr. 10 - Seminar Room 2.019 - 53115 Bonn

Bethe Center

Speakers

Matthias Staudacher Moritz Kade

Description

We will introduce the superspace formulation of the double-scaled beta-deformation of N=4 SYM, a dynamical fishnet chiral CFT. This superconformal QFT admits regular brick wall vacuum Feynman supergraphs in the planar limit. The superpropagators can be interpreted as lattice weights and the vacuum graphs as periodic partition functions, such that by the method of inversion relations the free energy in the thermodynamic limit is obtained. In the QFT context this quantity corresponds to its critical coupling. Furthermore, we consider the superspace formulation of the analog double-scaled beta-defomation of ABJM theory and find it to admit square-lattice fishnet supergraphs. The structure of the graphs allows to transfer techniques from the bi-scalar fishnet theory, among them the calculation of the critical coupling as well as all-loop results for anomalous dimensions.

Presentation materials