Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories
Abstract We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d 𝒩 = (2, 0) theories. First, we use analytical bootstrap techniques at large N to obtain the first nontrivial correction to this correlator, fro...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)165 |
| _version_ | 1797647510989176832 |
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| author | Carlo Meneghelli Maxime Trépanier |
| author_facet | Carlo Meneghelli Maxime Trépanier |
| author_sort | Carlo Meneghelli |
| collection | DOAJ |
| description | Abstract We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d 𝒩 = (2, 0) theories. First, we use analytical bootstrap techniques at large N to obtain the first nontrivial correction to this correlator, from which we extract the defect CFT (dCFT) data characterising the 2d dCFT of the 1/2 BPS plane. Along the way we derive a supersymmetric inversion formula, obtain the relevant superconformal blocks and check that crossing symmetry is satisfied. Notably our result features a holomorphic function whose appearance is related to the chiral algebra construction of Beem, Rastelli and van Rees. Second, we use that chiral algebra description to obtain exact results for the BPS sector of the dCFT, valid at any N and for any choice of surface operator. These results provide a window into the dynamics of strings of the mysterious 6d theories. |
| first_indexed | 2024-03-11T15:17:13Z |
| format | Article |
| id | doaj.art-d3b0624628ff449fb472541fad706548 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:13Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d3b0624628ff449fb472541fad7065482023-10-29T12:09:09ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023714810.1007/JHEP07(2023)165Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theoriesCarlo Meneghelli0Maxime Trépanier1Dipartimento SMFI, Università di ParmaDepartment of Mathematics, King’s College LondonAbstract We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d 𝒩 = (2, 0) theories. First, we use analytical bootstrap techniques at large N to obtain the first nontrivial correction to this correlator, from which we extract the defect CFT (dCFT) data characterising the 2d dCFT of the 1/2 BPS plane. Along the way we derive a supersymmetric inversion formula, obtain the relevant superconformal blocks and check that crossing symmetry is satisfied. Notably our result features a holomorphic function whose appearance is related to the chiral algebra construction of Beem, Rastelli and van Rees. Second, we use that chiral algebra description to obtain exact results for the BPS sector of the dCFT, valid at any N and for any choice of surface operator. These results provide a window into the dynamics of strings of the mysterious 6d theories.https://doi.org/10.1007/JHEP07(2023)165Scale and Conformal SymmetriesWilson’t Hooft and Polyakov loopsConformal and W Symmetry1/N Expansion |
| spellingShingle | Carlo Meneghelli Maxime Trépanier Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories Journal of High Energy Physics Scale and Conformal Symmetries Wilson ’t Hooft and Polyakov loops Conformal and W Symmetry 1/N Expansion |
| title | Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories |
| title_full | Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories |
| title_fullStr | Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories |
| title_full_unstemmed | Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories |
| title_short | Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories |
| title_sort | bootstrapping string dynamics in the 6d 𝒩 2 0 theories |
| topic | Scale and Conformal Symmetries Wilson ’t Hooft and Polyakov loops Conformal and W Symmetry 1/N Expansion |
| url | https://doi.org/10.1007/JHEP07(2023)165 |
| work_keys_str_mv | AT carlomeneghelli bootstrappingstringdynamicsinthe6dn20theories AT maximetrepanier bootstrappingstringdynamicsinthe6dn20theories |