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- W4387540209 abstract "We analyze the general structure of the three-point functions involving conserved higher-spin currents ${J}_{s}ensuremath{mathrel{:=}}{J}_{ensuremath{alpha}(i)stackrel{ifmmode dot{}else textperiodcentered fi{}}{ensuremath{alpha}}(j)}$ belonging to any Lorentz representation in four-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation equations, we computationally analyze the general structure of three-point functions $⟨{J}_{{s}_{1}}{J}_{{s}_{2}}^{ensuremath{'}}{J}_{{s}_{3}}^{ensuremath{'}ensuremath{'}}⟩$ for arbitrary spins and propose a classification of the results. For bosonic vectorlike currents with $i=j$, it is known that the number of independent conserved structures is $2text{ }text{ }mathrm{min}({s}_{i})+1$. For the three-point functions of conserved currents with arbitrarily many dotted and undotted indices, we show that in many cases the number of structures deviates from $2text{ }text{ }mathrm{min}({s}_{i})+1$." @default.
- W4387540209 created "2023-10-12" @default.
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- W4387540209 date "2023-10-11" @default.
- W4387540209 modified "2023-10-12" @default.
- W4387540209 title "Three-point functions of conserved currents in 4D CFT: General formalism for arbitrary spins" @default.
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- W4387540209 doi "https://doi.org/10.1103/physrevd.108.086017" @default.
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