Year: 2025
Type: article
Abstract: We find that multiple vertex algebras can arise from a single 4d \mathcal{N}=2 đ© = 2 superconformal field theory (SCFT). The connection is given by the BPS monodromy operator M M , which is a wall-crossing invariant quantity that captures the BPS spectrum on the Coulomb branch. For a class of low-rank Argyres-Douglas theories, we find that the trace of the multiple powers of the monodromy operator Tr M^N M N yield modular functions that can be identified with the vacuum characters of certain vertex algebra for each N N . In particular, we realize unitary VOAs of the Deligne-CvitanoviÄ exceptional series type (A_2)_1 ( A 2 ) 1 , (G_2)_1 ( G 2 ) 1 , (D_4)_1 ( D 4 ) 1 , (F_4)_1 ( F 4 ) 1 , (E_6)_1 ( E 6 ) 1 from Argyres-Douglas theories. We also find the modular invariant characters of the âintermediate vertex algebrasâ (E_{7\frac{1}{2}})_1 ( E 7 1 2 ) 1 and (X_1)_1 ( X 1 ) 1 . Our analysis allows us to construct 3d \mathcal{N}=2 <
Source: SciPost Physics
Authors: Heeyeon Kim, Jaewon Song
Institution: Korea Advanced Institute of Science and Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G1308203634, G2297168402, G3950697743
OpenAlex ID: W4416912941