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Scalar-fermion analytic bootstrap in 4D
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. SISSA, Via Bonomea 265, I-34136 Trieste, Italy.
SISSA, Via Bonomea 265, I-34136 Trieste, Italy;Ecole Polytech Fed Lausanne, Inst Phys, CH-1015 Lausanne, Switzerland.
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 6, article id 026Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2019. no 6, article id 026
Keywords [en]
Conformal Field Theory, Nonperturbative Effects
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-389595DOI: 10.1007/JHEP06(2019)026ISI: 000471286500002OAI: oai:DiVA.org:uu-389595DiVA, id: diva2:1338929
Funder
Knut and Alice Wallenberg Foundation, KAW 2015.0083Available from: 2019-07-25 Created: 2019-07-25 Last updated: 2019-07-25Bibliographically approved

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