2021
DOI: 10.48550/arxiv.2107.06266
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Bulk locality for scalars and fermions with global symmetry

Abstract: We count the number of independent solutions to crossing constraints of four point functions involving charged scalars and charged fermions in a CFT with large gap in the spectrum. To find the CFT data we employ recently developed analytical functionals to charged fields. We compute the corresponding higher dimensional flat space S matrices in an independent group theoretic manner and obtain agreement with our CFT counting of ambiguities. We also write down the local lagrangians explicitly. Our work lends furt… Show more

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Cited by 3 publications
(2 citation statements)
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“…Our results are hence applicable to these cases (see e.g. [39]). However when fermions or unequal scalars are involved the conformal blocks are different, and also we may lose full crossing (anti)symmetry.…”
mentioning
confidence: 60%
“…Our results are hence applicable to these cases (see e.g. [39]). However when fermions or unequal scalars are involved the conformal blocks are different, and also we may lose full crossing (anti)symmetry.…”
mentioning
confidence: 60%
“…We can easily write down examples of such functions built out of polynomials of mandelstam invariants [39,45,55].…”
Section: Parity Violating Amplitudesmentioning
confidence: 99%