2006/10/31 by Jeong-Hyuck Park, Dimitrios Tsimpis
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cone (formal languages) #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Engineering #Geometry #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Parameterized complexity #Physics #Pure mathematics #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.04.008
published as Nucl.Phys.B776:405-430,2007 · 1+33 pages; references added, an address changed
arxiv created 2007/04/13 · openalex publication_date 2007/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Putting a twisted version of N=4 super-Yang–Mills on a curved four-dimensional manifold generically breaks all conformal supersymmetries. In the special case where the four-manifold is a cone, we show that exactly two conformal supercharges remain unbroken. We construct an off-shell formulation of the theory such that the two unbroken conformal supercharges combine into a family of topological charges parameterized by CP1. The resulting theory is topological in the sense that it is independent of the metric on the three-dimensional base of the cone.