On (spinor)-helicity and bosonization in $AdS_4/CFT_3$
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866913504787693568 |
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| author | Skvortsov, Evgeny Yin, Yihao |
| author_facet | Skvortsov, Evgeny Yin, Yihao |
| contents | Helicity is a useful concept both for AdS${}_4$ and CFT${}_3$ studies. We work out the complete AdS${}_4$/CFT${}_3$ dictionary for spinning fields/operators in the spinor-helicity base that allows one to scalarize any $n$-point contact vertex. AdS${}_4$-vertices encode correlation functions of conserved currents, stress-tensor and, more generally, higher spin currents in a simple way. We work out the dictionary for Yang-Mills- and gravity-type theories with higher derivative corrections as well as some higher spin examples and exemplify the relation to the three-dimensional bosonization duality. The bosonization can be understood as a simple surgery: vertices/correlators are built via an EM-duality transformation by sewing together (anti)-Chiral higher spin gravities, to whose existence the three-dimensional bosonization duality can be attributed (up to the proof of uniqueness). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_06976 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On (spinor)-helicity and bosonization in $AdS_4/CFT_3$ Skvortsov, Evgeny Yin, Yihao High Energy Physics - Theory Helicity is a useful concept both for AdS${}_4$ and CFT${}_3$ studies. We work out the complete AdS${}_4$/CFT${}_3$ dictionary for spinning fields/operators in the spinor-helicity base that allows one to scalarize any $n$-point contact vertex. AdS${}_4$-vertices encode correlation functions of conserved currents, stress-tensor and, more generally, higher spin currents in a simple way. We work out the dictionary for Yang-Mills- and gravity-type theories with higher derivative corrections as well as some higher spin examples and exemplify the relation to the three-dimensional bosonization duality. The bosonization can be understood as a simple surgery: vertices/correlators are built via an EM-duality transformation by sewing together (anti)-Chiral higher spin gravities, to whose existence the three-dimensional bosonization duality can be attributed (up to the proof of uniqueness). |
| title | On (spinor)-helicity and bosonization in $AdS_4/CFT_3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2207.06976 |