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arXiv · 1907.11247

Recursion relation for general 3d blocks

Rajeev S. Erramilli·Luca V. Iliesiu·Petr Kravchuk
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Abstract

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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Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk. 2019-07-25. Recursion relation for general 3d blocks. https://doi.org/10.1007/jhep12(2019)116

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