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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2403.05243 |
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| _version_ | 1866929268668235776 |
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| author | Sakkas, Georgios |
| author_facet | Sakkas, Georgios |
| contents | This work derives an application from the identities of arXiv:hep-th/0602028 in order to invert four point functions in defect conformal field theories. For this, a recursion relation is established and the O(N) model with a line defect is considered as a testing ground of this application. Specifically, the CFT data are calculated from inversion of tilt and displacement four point functions. The recursion relation enables efficient computation of hypergeometrics at order $ε$ in the $ε$-expansion, leading to the inversion of four point functions and the derivation of CFT data. The inversion method presented offers a faster alternative to traditional approaches using arXiv:hep-ph/0507094v2, arXiv:0708.2443v2. The study also explores a general ansatz approach, assessing the algorithm's restrictiveness, and concludes by examining implications for the integral identity constraint of arXiv:2203.17157v2, predicting corrections to OPE coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05243 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inversion and Integral Identities in dCFTs Sakkas, Georgios High Energy Physics - Theory This work derives an application from the identities of arXiv:hep-th/0602028 in order to invert four point functions in defect conformal field theories. For this, a recursion relation is established and the O(N) model with a line defect is considered as a testing ground of this application. Specifically, the CFT data are calculated from inversion of tilt and displacement four point functions. The recursion relation enables efficient computation of hypergeometrics at order $ε$ in the $ε$-expansion, leading to the inversion of four point functions and the derivation of CFT data. The inversion method presented offers a faster alternative to traditional approaches using arXiv:hep-ph/0507094v2, arXiv:0708.2443v2. The study also explores a general ansatz approach, assessing the algorithm's restrictiveness, and concludes by examining implications for the integral identity constraint of arXiv:2203.17157v2, predicting corrections to OPE coefficients. |
| title | Inversion and Integral Identities in dCFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.05243 |