Non-spherical horizons. I
type: Item
instance of: scholarly article
title: Non-spherical horizons. I
zbMATH Open document ID: 0936.83043
author: Yanyan Li
published in: Advances in Theoretical and Mathematical Physics
publication date: 2000-05-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9810201
review text: The authors formulate an extension of Maldacena's AdS/CFT conjectures to the case of branes located at singular points in the ambient transverse space. For singularities which occur at finite distance in the moduli space of M or \(F\) theory models with spacetime-filling branes, the conjectures identify the worldvolume theory on the \(p\)-branes with a compactification of M or IIB theory on \(\text{AdS}_{p+2}\times H^{D-p-2}.\) Extending the AdS/CFT correspondence to describe branes at singularities is required for a complete description of the duality. Since configurations with branes at singularities occur at a finite distance in moduli space, the modifications to the extreme low-energy theory at these points should be captured by an appropriate modification of the AdS compactification. It is shown how the singularity determines the horizon \(H\), and demonstrate the relationship between global symmetries on the worldvolume and gauge symmetries in the AdS model. The modification in question is to replace the spherical horizon with a (non-spherical) horizon manifold determined by the local geometry at the singular point. As a first application, some singularities relevant to the D3-branes required in four-dimensional \(F\)-theory are studied. For these the low-energy field theory on the worldvolume is explicitly derived and its properties are compared to predictions from the dual AdS model. In particular, the baryon spectra of the models and the fate of the abelian factors in the gauge group are examined. The plan of the paper is as follows. The authors review the scaling limit in detail and explain how it must be modified in the present context. Some generic features of the singularities are also discussed. A geometric characterization of the amount of supersymmetry carried by the limiting conformal field theories is found. Using existing mathematical theorems, it is shown that the \(R\)-symmetry group of the conformal field theory acts by isometries on the corres…
Mathematics Subject Classification ID: 83E30
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 81V05
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 1383304
zbMATH Keywords: Maldacena's AdS/CFT conjectures
zbMATH Keywords: M and IIB theories
zbMATH Keywords: branes
zbMATH Keywords: conformal field theory
zbMATH Keywords: supersymmetry
zbMATH Keywords: holonomy groups
zbMATH Keywords: orbifolds
zbMATH Keywords: \(R\)-symmetry group
zbMATH Keywords: Gorenstein canonical singularities
zbMATH Keywords: blowup
zbMATH Keywords: horizon manifold
zbMATH Keywords: supe
reviewed by: Serguey M. Pokas
MaRDI profile type: Publication
arXiv ID: hep-th/9810201
OpenAlex ID: W1869595217
DOI: 10.4310/ATMP.1999.V3.N1.A1
description: scientific article