Abstract
In this work we discuss an analytic bootstrap approach [1, 2] in the context of spinning 4D conformal blocks [3, 4]. As an example we study the simplest spinning case, the scalar-fermion correlator \( \left\langle \phi\ \psi\ \phi\ \overline{\psi}\right\rangle \). We find that to every pair of primary scalar ϕ and fermion ψ correspond two infinite towers of fermionic large spin primary operators. We compute their twists and products of OPE coefficients using both s-t and u-t bootstrap equations to the leading and sub-leading orders. We find that the leading order is represented by the scalar-fermion generalized free theory and the sub-leading order is governed by the minimal twist bosonic (light scalars, currents and the energy-momentum tensor) and fermionic (light fermions and the suppersymmetric current) operators present in the spectrum.
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Elkhidir, E., Karateev, D. Scalar-fermion analytic bootstrap in 4D. J. High Energ. Phys. 2019, 26 (2019). https://doi.org/10.1007/JHEP06(2019)026
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DOI: https://doi.org/10.1007/JHEP06(2019)026