Correlation functions for \(M^N/S_n\) orbifolds
type: Item
instance of: scholarly article
title: Correlation functions for \(M^N/S_n\) orbifolds
zbMATH Open document ID: 0980.81045
author: Oleg Lunin
author: Samir D. Mathur
published in: Communications in Mathematical Physics
publication date: 2001-08-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0006196
review text: A method is presented for computing correlation functions of twist operators arising from orbifolds \(M^N/S_N\) (with \(S_N\) the symmetric group of order \(N!\)) within the framework of two-dimensional bosonic conformal field theory (CFT), where \(M\) may be an arbitrary manifold. Even though the CFT is defined on a sphere, the correlators can be expressed in terms of partition functions on a Riemann surface of finite genus \(g\). For large \(N\), the expansion with respect to \(g\) coincides with a \(1/N\) expansion. The authors provide an explicit expression for the contribution to the 3-point function coming from the sphere, while for the 4-point function they discuss but one example which has \(g=0,1\) contributions. Since the supersymmetric case is left out here, it seems desirable to include and compare it with the dual superstring theory.
reviewed by: Gert Roepstorff
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 83E30
zbMATH DE Number: 1631780
zbMATH Keywords: twist operators
zbMATH Keywords: two-dimensional bosonic conformal field
zbMATH Keywords: partition functions
zbMATH Keywords: Riemann surface
zbMATH Keywords: finite genus
zbMATH Keywords: 3-point function
zbMATH Keywords: dual superstring theory
MaRDI profile type: Publication
OpenAlex ID: W2963808501
arXiv ID: hep-th/0006196
DOI: 10.1007/S002200100431
description: scientific article; zbMATH DE number 1631780