Transdimensional Defects
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909767438434304 |
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| author | de Sabbata, Elia Drukker, Nadav Stergiou, Andreas |
| author_facet | de Sabbata, Elia Drukker, Nadav Stergiou, Andreas |
| contents | This note introduces a novel paradigm for conformal defects with continuously adjustable dimensions. Just as the standard $\varepsilon$ expansion interpolates between integer spacetime dimensions, a new parameter, $δ$, is used to interpolate between different integer-dimensional defects. The ensuing framework is explored in detail for defects of dimension $p=2+δ$ in both free and interacting $O(N)$ bulk conformal field theories (CFTs) in $d=4-\varepsilon$. Comprehensive calculations are performed to first and second order in $\varepsilon$ and to high or all orders in $δ$. Additionally, in the large-$N$ limit, the interpolation between defects of dimensions $p=1$ and $p=2$ is analysed for spacetime dimensions $4\leq d\leq 6$. The new parameter $δ$ provides a natural enrichment of the space of defect CFTs and allows to find new integer dimension or co-dimension defects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17809 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transdimensional Defects de Sabbata, Elia Drukker, Nadav Stergiou, Andreas High Energy Physics - Theory Statistical Mechanics This note introduces a novel paradigm for conformal defects with continuously adjustable dimensions. Just as the standard $\varepsilon$ expansion interpolates between integer spacetime dimensions, a new parameter, $δ$, is used to interpolate between different integer-dimensional defects. The ensuing framework is explored in detail for defects of dimension $p=2+δ$ in both free and interacting $O(N)$ bulk conformal field theories (CFTs) in $d=4-\varepsilon$. Comprehensive calculations are performed to first and second order in $\varepsilon$ and to high or all orders in $δ$. Additionally, in the large-$N$ limit, the interpolation between defects of dimensions $p=1$ and $p=2$ is analysed for spacetime dimensions $4\leq d\leq 6$. The new parameter $δ$ provides a natural enrichment of the space of defect CFTs and allows to find new integer dimension or co-dimension defects. |
| title | Transdimensional Defects |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2411.17809 |