Find in Library
Search millions of books, articles, and more
Indexed Open Access Databases
Recursion relation for general 3d blocks
oleh: Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk
Format: | Article |
---|---|
Diterbitkan: | SpringerOpen 2019-12-01 |
Deskripsi
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.