Calogero-Sutherland Approach to Defect Blocks

Autor: Isachenkov, Mikhail, Liendo, Pedro, Linke, Yannick, Schomerus, Volker
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP10(2018)204
Popis: 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.
Comment: v2: changes for clarity
Databáze: arXiv