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arXiv · 2207.06976

On (spinor)-helicity and bosonization in $AdS_4/CFT_3$

Evgeny Skvortsov·Yihao Yin
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Abstract

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).

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Evgeny Skvortsov, Yihao Yin. 2022-07-14. On (spinor)-helicity and bosonization in $AdS_4/CFT_3$. https://doi.org/10.1007/jhep03(2023)204

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