2013/08/29 by P. Marios Petropoulos, Petropoulos, P. Marios, Konstadinos Sfetsos +3 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual (grammatical number) #Dual polyhedron #Euclidean geometry #FOS: Physical sciences #Field (mathematics) #Field theory (psychology) #Geometry #High Energy Physics - Theory (hep-th) #Instanton #Isometry (Riemannian geometry) #Mathematical Physics (math-ph) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1308.6583
published in arXiv (Cornell University) (Cornell University) · 1+32 pages, 3 figures, JHEP style, v2: few minor changes, JHEP version
openalex publication_date 2013/08/29 · arxiv created 2013/11/05 · arxiv updated 2013/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct the first eleven-dimensional supergravity solutions, which are\nregular, have no smearing and possess only SO(2,4) x SO(3) x U(1)R isometry.\nThey are dual to four-dimensional field theories with N = 2 superconformal\nsymmetry. We utilise the Toda frame of self-dual four-dimensional Euclidean\nmetrics with SU(2) rotational symmetry. They are obtained by transforming the\nAtiyah--Hitchin instanton under SL(2,R) and are expressed in terms of theta\nfunctions. The absence of any extra U(1) symmetry, even asymptotically, renders\ninapplicable the electrostatic description of our solution.\n