Explicit toric metric on resolved Calabi–Yau cone

2006/05/22 by Takeshi Oota, Yukinori Yasui · 38 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Calabi–Yau manifold #Cone (formal languages) #Cosmology and Gravitation Theories #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Pure mathematics #Supergravity #Supersymmetry #hep-th

paper · pdf · open access · doi:10.1016/j.physletb.2006.06.021

published in Physics Letters B 639(1), 54-56 (Elsevier BV) · 8 pages, 2 figures; v2: references added

arxiv created 2006/05/22 · openalex publication_date 2006/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an explicit non-singular complete toric Calabi–Yau metric using the local solution recently found by Chen, Lü and Pope. This metric gives a new supergravity solution representing D3-branes.

Citations

• The Gauge/Gravity Theory of Blown up Four Cycles
• Toric Geometry, Sasaki–Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
• The large N limit of superconformal field theories and supergravity