Thermal conformal partial waves from flat-space and defect CFT
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| Format: | Preprint |
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2026
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| _version_ | 1866917536662028288 |
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| author | Alkalaev, K. B. Mandrygin, Semyon Samsonov, Vladimir |
| author_facet | Alkalaev, K. B. Mandrygin, Semyon Samsonov, Vladimir |
| contents | We establish a correspondence between conformal partial waves on flat, thermal, and defect backgrounds using the shadow formalism. We demonstrate that scalar one-point thermal blocks can be systematically obtained from their four-point flat-space and two-point defect counterparts by considering specific operator configurations. This framework allows us to derive the thermal Casimir equation as a diagonal reduction of the flat-space Casimir system without introducing chemical potentials. We further show that defect two-point blocks with a spin-$l$ exchange operator correspond to thermal one-point blocks for an external spin-$l$ operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27256 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Thermal conformal partial waves from flat-space and defect CFT Alkalaev, K. B. Mandrygin, Semyon Samsonov, Vladimir High Energy Physics - Theory We establish a correspondence between conformal partial waves on flat, thermal, and defect backgrounds using the shadow formalism. We demonstrate that scalar one-point thermal blocks can be systematically obtained from their four-point flat-space and two-point defect counterparts by considering specific operator configurations. This framework allows us to derive the thermal Casimir equation as a diagonal reduction of the flat-space Casimir system without introducing chemical potentials. We further show that defect two-point blocks with a spin-$l$ exchange operator correspond to thermal one-point blocks for an external spin-$l$ operator. |
| title | Thermal conformal partial waves from flat-space and defect CFT |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.27256 |