BCFT One-point Functions of Coulomb Branch Operators
Abstract We show that supersymmetry can be used to compute the BCFT one-point function coefficients for chiral primary operators, in 4d N $$ \mathcal{N} $$ = 2 SCFTs with 1 2 $$ \frac{1}{2} $$ -BPS boundary conditions. The main ingredient is the hemisphere partition function, with the boundary condi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)210 |
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| Summary: | Abstract We show that supersymmetry can be used to compute the BCFT one-point function coefficients for chiral primary operators, in 4d N $$ \mathcal{N} $$ = 2 SCFTs with 1 2 $$ \frac{1}{2} $$ -BPS boundary conditions. The main ingredient is the hemisphere partition function, with the boundary condition on the equatorial S 3. 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 $$ \mathcal{N} $$ = 2 SCFTs on the boundary. In particular we derive the action of the SL(2,ℤ) duality on the one-point functions. |
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| ISSN: | 1029-8479 |