Multipoint conformal blocks in the comb channel
Abstract
Conformal blocks are the building blocks for correlation functions in conformal field theories. The fourpoint function is the most wellstudied case. We consider conformal blocks for npoint correlation functions. For conformal field theories in dimensions d = 1 and d = 2, we use the shadow formalism to compute npoint 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 5point conformal block, for external and exchanged scalar operators.
 Publication:

Journal of High Energy Physics
 Pub Date:
 February 2019
 DOI:
 10.1007/JHEP02(2019)142
 arXiv:
 arXiv:1810.03244
 Bibcode:
 2019JHEP...02..142R
 Keywords:

 Conformal Field Theory;
 Field Theories in Lower Dimensions;
 High Energy Physics  Theory
 EPrint:
 39 pages