English

Analytic results in conformal field theory

High Energy Physics - Theory 2025-10-15 v2 Mathematical Physics math.MP

Abstract

Since the 1980s, many exact results have been discovered in 2d2d CFT, from critical exponents to correlation functions to complete solutions of certain models. In d>2d>2, there is a wealth of numerical results as well as promising analytic approaches, but comparably fewer exact answers. The aim of this conference was to review the most promising analytic methods and results in CFT in any dimension. In particular we tried to understand to which extent the 2d2d methods can be extended to d>2d>2, and what is missing to exactly solve d>2d>2 CFTs.

Keywords

Cite

@article{arxiv.2510.09868,
  title  = {Analytic results in conformal field theory},
  author = {Philine van Vliet and Emilio Trevisani and Ingo Runkel and Bernardo Zan and Yifei He and Xin Sun and Volker Schomerus},
  journal= {arXiv preprint arXiv:2510.09868},
  year   = {2025}
}

Comments

119 pages, proceedings of the 28e rencontre Itzykson, edited by Dalimil Mazac and Sylvain Ribault; v2: added links, acknowledgements, arXiv reference

R2 v1 2026-07-01T06:30:32.093Z