In this paper, we construct the associated vertex operator algebras for all 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.
Free field realizations for rank-one SCFTs / Beem, Christopher; Deb, Anirudh; Martone, Mario; Meneghelli, Carlo; Rastelli, Leonardo. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - (2024). [10.1007/JHEP12(2024)004]
Free field realizations for rank-one SCFTs
Carlo Meneghelli;
2024-01-01
Abstract
In this paper, we construct the associated vertex operator algebras for all 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.