Integrable bootstrap for AdS3/CFT2 correlation functions
Abstract We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in AdS3 × S3 × T4 backgrounds supported by an arbitrary mixture or Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. The framework extends the “hexagon tessellation” approach which...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2021)049 |
| _version_ | 1818600676014424064 |
|---|---|
| author | Burkhard Eden Dennis le Plat Alessandro Sfondrini |
| author_facet | Burkhard Eden Dennis le Plat Alessandro Sfondrini |
| author_sort | Burkhard Eden |
| collection | DOAJ |
| description | Abstract We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in AdS3 × S3 × T4 backgrounds supported by an arbitrary mixture or Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. The framework extends the “hexagon tessellation” approach which was originally proposed for AdS5 × S5 and for the first time it demonstrates its applicability to other (less supersymmetric) setups. We work out the hexagon form factor for two-particle states, including its dressing factors which follow from those of the spectral problem, and we show that it satisfies non-trivial consistency conditions. We propose a bootstrap principle, slightly different from that of AdS5 × S5, which allows to extend the form factor to arbitrarily many particles. Finally, we compare its predictions with some correlation functions of protected operators. Possible applications of this construction include the study of wrapping corrections, of higher-point correlation functions, and of non-planar corrections. |
| first_indexed | 2024-12-16T12:39:16Z |
| format | Article |
| id | doaj.art-90b0fc42f5b4499fb1d304f9e6ff64f9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T12:39:16Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-90b0fc42f5b4499fb1d304f9e6ff64f92022-12-21T22:31:28ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021815910.1007/JHEP08(2021)049Integrable bootstrap for AdS3/CFT2 correlation functionsBurkhard Eden0Dennis le Plat1Alessandro Sfondrini2Institut für Mathematik und Physik, Humboldt-Universität zu BerlinInstitut für Mathematik und Physik, Humboldt-Universität zu BerlinDipartimento di Fisica e Astronomia, Università degli Studi di Padova and Istituto Nazionale di Fisica Nucleare, Sezione di PadovaAbstract We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in AdS3 × S3 × T4 backgrounds supported by an arbitrary mixture or Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. The framework extends the “hexagon tessellation” approach which was originally proposed for AdS5 × S5 and for the first time it demonstrates its applicability to other (less supersymmetric) setups. We work out the hexagon form factor for two-particle states, including its dressing factors which follow from those of the spectral problem, and we show that it satisfies non-trivial consistency conditions. We propose a bootstrap principle, slightly different from that of AdS5 × S5, which allows to extend the form factor to arbitrarily many particles. Finally, we compare its predictions with some correlation functions of protected operators. Possible applications of this construction include the study of wrapping corrections, of higher-point correlation functions, and of non-planar corrections.https://doi.org/10.1007/JHEP08(2021)049Integrable Field TheoriesAdS-CFT CorrespondenceConformal Field Theory |
| spellingShingle | Burkhard Eden Dennis le Plat Alessandro Sfondrini Integrable bootstrap for AdS3/CFT2 correlation functions Journal of High Energy Physics Integrable Field Theories AdS-CFT Correspondence Conformal Field Theory |
| title | Integrable bootstrap for AdS3/CFT2 correlation functions |
| title_full | Integrable bootstrap for AdS3/CFT2 correlation functions |
| title_fullStr | Integrable bootstrap for AdS3/CFT2 correlation functions |
| title_full_unstemmed | Integrable bootstrap for AdS3/CFT2 correlation functions |
| title_short | Integrable bootstrap for AdS3/CFT2 correlation functions |
| title_sort | integrable bootstrap for ads3 cft2 correlation functions |
| topic | Integrable Field Theories AdS-CFT Correspondence Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP08(2021)049 |
| work_keys_str_mv | AT burkhardeden integrablebootstrapforads3cft2correlationfunctions AT dennisleplat integrablebootstrapforads3cft2correlationfunctions AT alessandrosfondrini integrablebootstrapforads3cft2correlationfunctions |