The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory

Abstract We propose a double-scaling limit of β-deformed ABJM theory in three-dimensional N $$ \mathcal{N} $$ = 2 superspace, and a non-local deformation thereof. Due to the regular appearance of the theory’s Feynman supergraphs, we refer to this superconformal and integrable theory as the superfish...

Full description

Saved in:
Bibliographic Details
Main Author: Moritz Kade
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)100
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract We propose a double-scaling limit of β-deformed ABJM theory in three-dimensional N $$ \mathcal{N} $$ = 2 superspace, and a non-local deformation thereof. Due to the regular appearance of the theory’s Feynman supergraphs, we refer to this superconformal and integrable theory as the superfishnet theory. We use techniques inspired by the integrability of bi-scalar fishnet theory and adapted to superspace to calculate the zero-mode-fixed thermodynamic free energy, the corresponding critical coupling, and the exact all-loop scaling dimensions of various operators. Furthermore, we confirm the results of the supersymmetric dynamical fishnet theory by applying our methods to four-dimensional N $$ \mathcal{N} $$ = 1 superspace.
ISSN:1029-8479