Bootstrap equations for N = 4 SYM with defects
This paper focuses on the analysis of 4dN = 4 superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is a boundary that preserves half of the supersymmetry. After studying the c...
| Main Authors: | , |
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| Format: | Journal article |
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Springer Verlag
2017
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| _version_ | 1797067483077672960 |
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| author | Liendo, P Meneghelli, C |
| author_facet | Liendo, P Meneghelli, C |
| author_sort | Liendo, P |
| collection | OXFORD |
| description | This paper focuses on the analysis of 4dN = 4 superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is a boundary that preserves half of the supersymmetry. After studying the constraints imposed by supersymmetry, we will obtain the Ward identities associated to two-point functions of 12 -BPS operators and write their solution as a superconformal block expansion. Due to a surprising connection between spacetime and R-symmetry conformal blocks, our results not only apply to 4dN = 4 superconformal theories with a boundary, but also to three more systems that have the same symmetry algebra: 4dN = 4 superconformal theories with a line defect, 3dN = 4 superconformal theories with no defect, and OSP(4 ∗ |4) superconformal quantum mechanics. The superconformal algebra implies that all these systems possess a closed subsector of operators in which the bootstrap equations become polynomial constraints on the CFT data. We derive these truncated equations and initiate the study of their solutions. |
| first_indexed | 2024-03-06T21:56:56Z |
| format | Journal article |
| id | oxford-uuid:4d3a4992-736a-47f5-aa36-e6280d19f4b3 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:56:56Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:4d3a4992-736a-47f5-aa36-e6280d19f4b32022-03-26T15:54:18ZBootstrap equations for N = 4 SYM with defectsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4d3a4992-736a-47f5-aa36-e6280d19f4b3Symplectic Elements at OxfordSpringer Verlag2017Liendo, PMeneghelli, CThis paper focuses on the analysis of 4dN = 4 superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is a boundary that preserves half of the supersymmetry. After studying the constraints imposed by supersymmetry, we will obtain the Ward identities associated to two-point functions of 12 -BPS operators and write their solution as a superconformal block expansion. Due to a surprising connection between spacetime and R-symmetry conformal blocks, our results not only apply to 4dN = 4 superconformal theories with a boundary, but also to three more systems that have the same symmetry algebra: 4dN = 4 superconformal theories with a line defect, 3dN = 4 superconformal theories with no defect, and OSP(4 ∗ |4) superconformal quantum mechanics. The superconformal algebra implies that all these systems possess a closed subsector of operators in which the bootstrap equations become polynomial constraints on the CFT data. We derive these truncated equations and initiate the study of their solutions. |
| spellingShingle | Liendo, P Meneghelli, C Bootstrap equations for N = 4 SYM with defects |
| title | Bootstrap equations for N = 4 SYM with defects |
| title_full | Bootstrap equations for N = 4 SYM with defects |
| title_fullStr | Bootstrap equations for N = 4 SYM with defects |
| title_full_unstemmed | Bootstrap equations for N = 4 SYM with defects |
| title_short | Bootstrap equations for N = 4 SYM with defects |
| title_sort | bootstrap equations for n 4 sym with defects |
| work_keys_str_mv | AT liendop bootstrapequationsforn4symwithdefects AT meneghellic bootstrapequationsforn4symwithdefects |