Shadow formalism for supersymmetric conformal blocks
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911988505903104 |
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| author | Belavin, Vladimir Cabezas, Juan Ramos Runov, Boris |
| author_facet | Belavin, Vladimir Cabezas, Juan Ramos Runov, Boris |
| contents | Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We demonstrate that shadow formalism yields known expressions for the large-c limit of the four-point superconformal block on a plane and of the one-point superconformal block on a torus. We also explicitly find the two-point global torus superconformal block in the necklace channel and check it against the Casimir differential equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07684 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shadow formalism for supersymmetric conformal blocks Belavin, Vladimir Cabezas, Juan Ramos Runov, Boris High Energy Physics - Theory Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We demonstrate that shadow formalism yields known expressions for the large-c limit of the four-point superconformal block on a plane and of the one-point superconformal block on a torus. We also explicitly find the two-point global torus superconformal block in the necklace channel and check it against the Casimir differential equation. |
| title | Shadow formalism for supersymmetric conformal blocks |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.07684 |