Correlators of mixed symmetry operators in defect CFTs
Abstract We use the embedding formalism technique to study correlation functions of a d-dimensional Euclidean CFT in the presence of a q co-dimensional defect. The defect breaks the global conformal group SO(d + 1, 1) into SO(d − q + 1, 1) × SO(q). We calculate all possible invariant structures that...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)198 |
| _version_ | 1818285952042270720 |
|---|---|
| author | Sunny Guha Balakrishnan Nagaraj |
| author_facet | Sunny Guha Balakrishnan Nagaraj |
| author_sort | Sunny Guha |
| collection | DOAJ |
| description | Abstract We use the embedding formalism technique to study correlation functions of a d-dimensional Euclidean CFT in the presence of a q co-dimensional defect. The defect breaks the global conformal group SO(d + 1, 1) into SO(d − q + 1, 1) × SO(q). We calculate all possible invariant structures that can appear in one-point, two-point and three-point correlation functions of bulk and defect operators in mixed symmetry representation. Their generalization to n-point correlation functions are also worked out. Correlation functions in the presence of a defect, in arbitrary representation of SO(q), are also calculated. |
| first_indexed | 2024-12-13T01:16:52Z |
| format | Article |
| id | doaj.art-f79b46deceb04eedba240d917730b67d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T01:16:52Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f79b46deceb04eedba240d917730b67d2022-12-22T00:04:20ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181013910.1007/JHEP10(2018)198Correlators of mixed symmetry operators in defect CFTsSunny Guha0Balakrishnan Nagaraj1George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M UniversityGeorge P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M UniversityAbstract We use the embedding formalism technique to study correlation functions of a d-dimensional Euclidean CFT in the presence of a q co-dimensional defect. The defect breaks the global conformal group SO(d + 1, 1) into SO(d − q + 1, 1) × SO(q). We calculate all possible invariant structures that can appear in one-point, two-point and three-point correlation functions of bulk and defect operators in mixed symmetry representation. Their generalization to n-point correlation functions are also worked out. Correlation functions in the presence of a defect, in arbitrary representation of SO(q), are also calculated.http://link.springer.com/article/10.1007/JHEP10(2018)198Conformal Field TheoryBoundary Quantum Field TheoryGlobal SymmetriesConformal and W Symmetry |
| spellingShingle | Sunny Guha Balakrishnan Nagaraj Correlators of mixed symmetry operators in defect CFTs Journal of High Energy Physics Conformal Field Theory Boundary Quantum Field Theory Global Symmetries Conformal and W Symmetry |
| title | Correlators of mixed symmetry operators in defect CFTs |
| title_full | Correlators of mixed symmetry operators in defect CFTs |
| title_fullStr | Correlators of mixed symmetry operators in defect CFTs |
| title_full_unstemmed | Correlators of mixed symmetry operators in defect CFTs |
| title_short | Correlators of mixed symmetry operators in defect CFTs |
| title_sort | correlators of mixed symmetry operators in defect cfts |
| topic | Conformal Field Theory Boundary Quantum Field Theory Global Symmetries Conformal and W Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)198 |
| work_keys_str_mv | AT sunnyguha correlatorsofmixedsymmetryoperatorsindefectcfts AT balakrishnannagaraj correlatorsofmixedsymmetryoperatorsindefectcfts |