Scalar-fermion analytic bootstrap in 4D
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. We find that to every pair of primary scalar phi and fermion 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.
JHEP06(2019)026.pdf
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6641f4c65b7aa09d3b82dffacf2c828c
10-1007-JHEP06_2019_026.pdf
Publisher's version
openaccess
CC BY
649.92 KB
Adobe PDF
6641f4c65b7aa09d3b82dffacf2c828c