Analytic results in conformal field theory

Fuente: arXiv
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Main Authors: van Vliet, Philine, Trevisani, Emilio, Runkel, Ingo, Zan, Bernardo, He, Yifei, Sun, Xin, Schomerus, Volker
Format: Preprint
Published: 2025
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author van Vliet, Philine
Trevisani, Emilio
Runkel, Ingo
Zan, Bernardo
He, Yifei
Sun, Xin
Schomerus, Volker
author_facet van Vliet, Philine
Trevisani, Emilio
Runkel, Ingo
Zan, Bernardo
He, Yifei
Sun, Xin
Schomerus, Volker
contents Since the 1980s, many exact results have been discovered in $2d$ CFT, from critical exponents to correlation functions to complete solutions of certain models. In $d>2$, 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 $2d$ methods can be extended to $d>2$, and what is missing to exactly solve $d>2$ CFTs.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09868
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Analytic results in conformal field theory
van Vliet, Philine
Trevisani, Emilio
Runkel, Ingo
Zan, Bernardo
He, Yifei
Sun, Xin
Schomerus, Volker
High Energy Physics - Theory
Mathematical Physics
Since the 1980s, many exact results have been discovered in $2d$ CFT, from critical exponents to correlation functions to complete solutions of certain models. In $d>2$, 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 $2d$ methods can be extended to $d>2$, and what is missing to exactly solve $d>2$ CFTs.
title Analytic results in conformal field theory
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2510.09868