Recursion relations for 5-point conformal blocks

Poland, David; Prilepina, Valentina

doi:10.1007/jhep10(2021)160

Recursion relations for 5-point conformal blocks

Journal Article · Fri Oct 01 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2021)160· OSTI ID:1976565

Poland, David ^[1]; ^[2]

Yale Univ., New Haven, CT (United States); Yale Univ., New Haven, CT (United States)
Universite Laval, Quebec, QC (Canada); Lomonosov Moscow State Univ. (Russian Federation)

We consider 5-point functions in conformal field theories in d2 dimensions. Using weight-shifting operators, we derive recursion relations which allow for the computation of arbitrary conformal blocks appearing in 5-point functions of scalar operators, reducing them to a linear combination of blocks with scalars exchanged. We additionally derive recursion relations for the conformal blocks which appear when one of the external operators in the 5-point function has spin 1 or 2. Our results allow us to formulate positivity constraints using 5-point functions which describe the expectation value of the energy operator in bilocal states created by two scalars.

View Accepted Manuscript (DOE)

Research Organization:: Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0017660; SC0020318

OSTI ID:: 1976565

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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