A Lorentzian inversion formula for defect CFT
Abstract We present a Lorentzian inversion formula valid for any defect CFT that extracts the bulk channel CFT data as an analytic function of the spin variable. This result complements the already obtained inversion formula for the corresponding defect channel, and makes it now possible to implemen...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)163 |
| _version_ | 1818771968061603840 |
|---|---|
| author | Pedro Liendo Yannick Linke Volker Schomerus |
| author_facet | Pedro Liendo Yannick Linke Volker Schomerus |
| author_sort | Pedro Liendo |
| collection | DOAJ |
| description | Abstract We present a Lorentzian inversion formula valid for any defect CFT that extracts the bulk channel CFT data as an analytic function of the spin variable. This result complements the already obtained inversion formula for the corresponding defect channel, and makes it now possible to implement the analytic bootstrap program for defect CFT, by going back and forth between bulk and defect expansions. A crucial role in our derivation is played by the Calogero-Sutherland description of defect blocks which we review. As first applications we obtain the large-spin limit of bulk CFT data necessary to reproduce the defect identity, and also calculate one-point functions of the twist defect of the 3d Ising model to first order in the ϵ-expansion. |
| first_indexed | 2024-12-18T10:01:53Z |
| format | Article |
| id | doaj.art-58cd7b1463ce44bd92691c8c5ee177bd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-18T10:01:53Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-58cd7b1463ce44bd92691c8c5ee177bd2022-12-21T21:11:39ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020813010.1007/JHEP08(2020)163A Lorentzian inversion formula for defect CFTPedro Liendo0Yannick Linke1Volker Schomerus2DESY Hamburg, Theory GroupDESY Hamburg, Theory GroupDESY Hamburg, Theory GroupAbstract We present a Lorentzian inversion formula valid for any defect CFT that extracts the bulk channel CFT data as an analytic function of the spin variable. This result complements the already obtained inversion formula for the corresponding defect channel, and makes it now possible to implement the analytic bootstrap program for defect CFT, by going back and forth between bulk and defect expansions. A crucial role in our derivation is played by the Calogero-Sutherland description of defect blocks which we review. As first applications we obtain the large-spin limit of bulk CFT data necessary to reproduce the defect identity, and also calculate one-point functions of the twist defect of the 3d Ising model to first order in the ϵ-expansion.http://link.springer.com/article/10.1007/JHEP08(2020)163Conformal Field TheoryBoundary Quantum Field TheoryNonperturbative Effects |
| spellingShingle | Pedro Liendo Yannick Linke Volker Schomerus A Lorentzian inversion formula for defect CFT Journal of High Energy Physics Conformal Field Theory Boundary Quantum Field Theory Nonperturbative Effects |
| title | A Lorentzian inversion formula for defect CFT |
| title_full | A Lorentzian inversion formula for defect CFT |
| title_fullStr | A Lorentzian inversion formula for defect CFT |
| title_full_unstemmed | A Lorentzian inversion formula for defect CFT |
| title_short | A Lorentzian inversion formula for defect CFT |
| title_sort | lorentzian inversion formula for defect cft |
| topic | Conformal Field Theory Boundary Quantum Field Theory Nonperturbative Effects |
| url | http://link.springer.com/article/10.1007/JHEP08(2020)163 |
| work_keys_str_mv | AT pedroliendo alorentzianinversionformulafordefectcft AT yannicklinke alorentzianinversionformulafordefectcft AT volkerschomerus alorentzianinversionformulafordefectcft AT pedroliendo lorentzianinversionformulafordefectcft AT yannicklinke lorentzianinversionformulafordefectcft AT volkerschomerus lorentzianinversionformulafordefectcft |