2013/11/30 by José Figueroa-O’Farrill, José Figueroa-O'Farrill, Moustafa Gharamti
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Hyperbolic space #Moduli space #Noncommutative and Quantum Gravity Theories #Space (punctuation) #Supergravity #Supersymmetry #Supersymmetry algebra #Supersymmetry breaking #hep-th
paper · pdf · doi:10.1007/jhep04(2014)074
22 pages
arxiv created 2014/03/14 · openalex publication_date 2014/04/01 · arxiv updated 2015/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate what supersymmetry says about the geometry of the moduli space of hyperbolic monopoles. We construct a three-dimensional supersymmetric Yang-Mills-Higgs theory on hyperbolic space whose half-BPS configurations coincide with (complexified) hyperbolic monopoles. We then study the action of the preserved supersymmetry on the collective coordinates and show that demanding closure of the supersymmetry algebra constrains the geometry of the moduli space of hyperbolic monopoles, turning it into a so-called pluricomplex manifold, thus recovering a recent result of Bielawski and Schwachhöfer.