One-point thermal conformal blocks from four-point conformal integrals
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910679196237824 |
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| author | Alkalaev, K. B. Mandrygin, Semyon |
| author_facet | Alkalaev, K. B. Mandrygin, Semyon |
| contents | We develop the thermal shadow formalism to study the conformal blocks decomposition in $D$-dimensional conformal field theory on $\mathbb{S}_β^{1} \times \mathbb{S}^{D-1}$, where the temperature is $T = β^{-1}$. It is demonstrated that both the 1-point thermal ($T\neq 0$) conformal blocks and the 4-point plane ($T=0$) conformal blocks are defined by the same 4-point conformal integral. It is shown that up to power prefactors the 1-point thermal conformal block is given by the fourth Appell function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-point thermal conformal blocks from four-point conformal integrals Alkalaev, K. B. Mandrygin, Semyon High Energy Physics - Theory We develop the thermal shadow formalism to study the conformal blocks decomposition in $D$-dimensional conformal field theory on $\mathbb{S}_β^{1} \times \mathbb{S}^{D-1}$, where the temperature is $T = β^{-1}$. It is demonstrated that both the 1-point thermal ($T\neq 0$) conformal blocks and the 4-point plane ($T=0$) conformal blocks are defined by the same 4-point conformal integral. It is shown that up to power prefactors the 1-point thermal conformal block is given by the fourth Appell function. |
| title | One-point thermal conformal blocks from four-point conformal integrals |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.01741 |