Work

Free field realizations for rank-one SCFTs

Year: 2024

Type: article

Abstract: A bstract In this paper, we construct the associated vertex operator algebras for all $$ \mathcal{N} $$ N = 2 superconformal field theories of rank one. We give a uniform presentation through free-field realizations, which turns out to be a particularly suitable framework for this task. The elementary building blocks of the construction are dictated by the low energy degrees of freedom on the Higgs branch, which are well understood for rank-one theories. We further analyze the interplay between Higgs and Coulomb data on the moduli space of vacua, which tightly constrain the overall structure of the free field realizations. Our results suggest a plausible bottom-up classification scheme for low-rank SCFTs incorporating vertex algebra techniques.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep12(2024)004

Authors: Christopher Beem, Anirudh Deb, Mario Martone, Carlo Meneghelli, Leonardo Rastelli

Institutions: University of Oxford, Stony Brook University, King's College London, University of Parma, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond