We show that supersymmetry can be used to compute the BCFT one-point function coefficients for chiral primary operators, in 4d N = 2 SCFTs with 1/2 BPS boundary conditions. The main ingredient is the hemisphere partition function, with the boundary condition on the equatorial S3. A supersymmetric Ward identity relates derivatives with respect to the chiral coupling constants to the insertion of the primaries at the pole of the hemisphere. Exact results for the one-point functions can be then obtained in terms of the localization matrix model. We discuss in detail the example of the super Maxwell theory in the bulk, interacting with 3d N = 2 SCFTs on the boundary. In particular we derive the action of the SL(2,ℤ) duality on the one-point functions.
BCFT One-point Functions of Coulomb Branch Operators
Bason, Davide
;Di Pietro, Lorenzo
;Valandro, Roberto
;
2024-01-01
Abstract
We show that supersymmetry can be used to compute the BCFT one-point function coefficients for chiral primary operators, in 4d N = 2 SCFTs with 1/2 BPS boundary conditions. The main ingredient is the hemisphere partition function, with the boundary condition on the equatorial S3. A supersymmetric Ward identity relates derivatives with respect to the chiral coupling constants to the insertion of the primaries at the pole of the hemisphere. Exact results for the one-point functions can be then obtained in terms of the localization matrix model. We discuss in detail the example of the super Maxwell theory in the bulk, interacting with 3d N = 2 SCFTs on the boundary. In particular we derive the action of the SL(2,ℤ) duality on the one-point functions.Pubblicazioni consigliate
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