Recursion relation for general 3d blocks

Erramilli, Rajeev S.; Iliesiu, Luca V.; Kravchuk, Petr

doi:10.1007/JHEP12(2019)116

Title: Recursion relation for general 3d blocks

Journal Article · 16 December 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP12(2019)116 · OSTI ID:1596664

Erramilli, Rajeev S. ^[1]; Iliesiu, Luca V. ^[2];

^[3]

Yale Univ., New Haven, CT (United States). Dept. of Physics
Princeton Univ., NJ (United States). Joseph Henry Lab. of Physics
Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

We derive closed-form expressions for all ingredients of the Zamolodchikov-like recursion relation for general spinning conformal blocks in 3-dimensional conformal field theory. This result opens a path to efficient automatic generation of conformal block tables, which has immediate applications in numerical conformal bootstrap program. Our derivation is based on an understanding of null states and conformally-invariant differential operators in momentum space, combined with a careful choice of the relevant tensor structures bases. This derivation generalizes straightforwardly to higher spacetime dimensions d, provided the relevant Clebsch-Gordan coefficients of Spin (d) are known.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation

Contributing Organization:: Perimeter Institute for Theoretical Physics

Grant/Contract Number:: SC0009988; PHY-1820651

OSTI ID:: 1596664

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 29 works

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