2018/03/31 by Dmitry Chernyavsky
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Coset #Cosmology and Gravitation Theories #Gauge symmetry #Gauge theory #Geometry #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Supergroup #Supersymmetry #Symmetry (geometry) #Symmetry group #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep04(2018)009
V2: 17 pages, presentation improved, the version to appear in JHEP
openalex publication_date 2018/04/01 · arxiv created 2018/04/06 · arxiv updated 2020/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We study superpaticle models with fermionic gauge symmetry on the coset spaces of the SU(1 , 1| N ) supergroup. We first construct SU(1 , 1| N ) supersymmetric extension of a particle on AdS 2 possessing the κ -symmetry. Including angular degrees of freedom and extending this model to a superparticle on the AdS 2 × ℂℙ N − 1 background with two-form flux, one breaks the κ -symmetry down to a fermionic gauge symmetry with one parameter. A link of the background field configuration to the near horizon black hole geometries is discussed.