Lightcone expansions of conformal blocks in closed form

preprint2020arXivOpen access

Abstract

We present new closed-form expressions for 4-point scalar conformal blocks in the s- and t-channel lightcone expansions. Our formulae apply to intermediate operators of arbitrary spin in general dimensions. For physical spin ℓ\ell, they are composed of at most (ℓ+1)(\ell+1) Gaussian hypergeometric functions at each order.

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