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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.19436 |
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| _version_ | 1866918019577413632 |
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| author | Ammon, Martin Hollweck, Jakob Hössel, Tobias Wölfl, Katharina |
| author_facet | Ammon, Martin Hollweck, Jakob Hössel, Tobias Wölfl, Katharina |
| contents | The explicit computation of higher-point conformal blocks in any dimension is usually a challenging task. For two-dimensional conformal field theories in Euclidean signature, the oscillator formalism proves to be very efficient. We demonstrate this by reproducing the general $n$-point global conformal block in the comb channel in an elegant and direct manner. Exploiting similarities to the representation theory of two-dimensional CFTs, we extend the oscillator formalism to the computation of higher-point conformal blocks in four Euclidean dimensions. As a proof of concept, we explicitly compute the scalar four-point block with scalar exchange within this framework and discuss the extension to the higher-point case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conformal Blocks in Two and Four Dimensions from Oscillator Representations Ammon, Martin Hollweck, Jakob Hössel, Tobias Wölfl, Katharina High Energy Physics - Theory The explicit computation of higher-point conformal blocks in any dimension is usually a challenging task. For two-dimensional conformal field theories in Euclidean signature, the oscillator formalism proves to be very efficient. We demonstrate this by reproducing the general $n$-point global conformal block in the comb channel in an elegant and direct manner. Exploiting similarities to the representation theory of two-dimensional CFTs, we extend the oscillator formalism to the computation of higher-point conformal blocks in four Euclidean dimensions. As a proof of concept, we explicitly compute the scalar four-point block with scalar exchange within this framework and discuss the extension to the higher-point case. |
| title | Conformal Blocks in Two and Four Dimensions from Oscillator Representations |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.19436 |