Calogero-Sutherland Approach to Defect Blocks
High Energy Physics - Theory
2018-11-14 v2
Abstract
Extended objects such as line or surface operators, interfaces or boundaries play an important role in conformal field theory. Here we propose a systematic approach to the relevant conformal blocks which are argued to coincide with the wave functions of an integrable multi-particle Calogero-Sutherland problem. This generalizes a recent observation in 1602.01858 and makes extensive mathematical results from the modern theory of multi-variable hypergeometric functions available for studies of conformal defects. Applications range from several new relations with scalar four-point blocks to a Euclidean inversion formula for defect correlators.
Cite
@article{arxiv.1806.09703,
title = {Calogero-Sutherland Approach to Defect Blocks},
author = {Mikhail Isachenkov and Pedro Liendo and Yannick Linke and Volker Schomerus},
journal= {arXiv preprint arXiv:1806.09703},
year = {2018}
}
Comments
v2: changes for clarity