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Recursion relations in Witten diagrams and conformal partial waves

Recursion relations in Witten diagrams and conformal partial waves

A bstract We revisit the problem of performing conformal block decomposition of exchange Witten diagrams in the crossed channel. Using properties of conformal blocks and Witten diagrams, we discover infinitely many linear relations among the crossed channel decomposition coefficients. These relations allow us to formulate a recursive algorithm that solves …