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arXiv · 1810.03244

Multipoint Conformal Blocks in the Comb Channel

Vladimir Rosenhaus
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Abstract

Conformal blocks are the building blocks for correlation functions in conformal field theories. The four-point function is the most well-studied case. We consider conformal blocks for $n$-point correlation functions. For conformal field theories in dimensions $d=1$ and $d=2$, we use the shadow formalism to compute $n$-point conformal blocks, for arbitrary $n$, in a particular channel which we refer to as the comb channel. The result is expressed in terms of a multivariable hypergeometric function, for which we give series, differential, and integral representations. In general dimension $d$ we derive the $5$-point conformal block, for external and exchanged scalar operators.

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Vladimir Rosenhaus. 2018-10-08. Multipoint Conformal Blocks in the Comb Channel. https://doi.org/10.1007/jhep02(2019)142

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