2002/05/31 by Lilia Anguelova, L. Anguelova, Calin Iuliu Lazaroiu +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Class (philosophy) #Combinatorics #Computer science #Delocalized electron #Field (mathematics) #Geometry #Geometry and complex manifolds #Homogeneous space #Interpretation (philosophy) #Mathematical physics #Mathematics #Metric (unit) #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Reduction (mathematics) #String (physics) #String theory #Theoretical physics #Type (biology) #hep-th #math.DG
paper · pdf · doi:10.1088/1126-6708/2002/10/038
published as JHEP 0210 (2002) 038 · 45 pages, references added
arxiv created 2002/07/31 · openalex publication_date 2002/10/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We analyze a class of conical G2 metrics admitting two commuting isometries, together with a certain one-parameter family of G2 deformations which preserves these symmetries. Upon using recent results of Calderbank and Pedersen, we write down the explicit G2 metric for the most general member of this family and extract the IIA reduction of M-theory on such backgrounds, as well as its type IIB dual. By studying the asymptotics of type II fields around the relevant loci, we confirm the interpretation of such backgrounds in terms of localized IIA 6-branes and delocalized IIB 5-branes. In particular, we find explicit, general expressions for the string coupling and R-R/NS-NS forms in the vicinity of these objects. Our solutions contain and generalize the field configurations relevant for certain models considered in recent work of Acharya and Witten.