Coulomb branch operator algebras and universal selection rules for N $$ \mathcal{N} $$ = 2 SCFTs
Abstract Coulomb branches of vacua are the most universal moduli spaces that arise in local unitary interacting 4d N $$ \mathcal{N} $$ = 2 superconformal field theories (SCFTs). In these theories, 1/2-BPS primaries parameterize the Coulomb branches and form (anti-)chiral rings. We define the notion...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2025)212 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Abstract Coulomb branches of vacua are the most universal moduli spaces that arise in local unitary interacting 4d N $$ \mathcal{N} $$ = 2 superconformal field theories (SCFTs). In these theories, 1/2-BPS primaries parameterize the Coulomb branches and form (anti-)chiral rings. We define the notion of a Coulomb branch operator algebra, A C $$ {\mathcal{A}}_{\mathcal{C}} $$ , that contains these chiral and anti-chiral rings along with infinitely many more operators and products that are less protected by supersymmetry. Using a universal symmetry, I ≅ ℤ 2 $$ \mathcal{I}\cong {\mathbb{Z}}_2 $$ , that arises from studying the superconformal group, we give I $$ \mathcal{I} $$ selection rules for A C $$ {\mathcal{A}}_{\mathcal{C}} $$ and, more generally, for arbitrary products in the local operator algebra of any 4d N $$ \mathcal{N} $$ = 2 SCFT. Defining the notion of a “Coulombic” SCFT, we propose explanations for certain phenomena in a 4d/2d correspondence involving 4d N $$ \mathcal{N} $$ = 2 theories and 2d vertex operator algebras. Finally, by considering deformations of I $$ \mathcal{I} $$ , we explore the case of N $$ \mathcal{N} $$ > 2 SCFTs. |
|---|---|
| ISSN: | 1029-8479 |