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Multipoint conformal blocks in the comb channel
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Journal Article
Multipoint conformal blocks in the comb channel
2019
Overview
A
bstract
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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
